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Finding the Fourth Proportional to 3,094.84, 4,641.35 and 902.88

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Solution

The fourth proportional to 3,094.84, 4,641.35 and 902.88 is: 1,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.84 : 4,641.35 = 902.88 : x
  2. Step 2: Convert to fraction form
    3,094.84/4,641.35 = 902.88/x
  3. Step 3: Cross multiply
    3,094.84x = 4,641.35 × 902.88
  4. Step 4: Simplify right side
    3,094.84x = 4,190,582.09
  5. Step 5: Solve for x
    x = 4,190,582.09/3,094.84
  6. Step 6: Final answer
    x = 1,354.05

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.