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Finding the Fourth Proportional to 3,094.74, 4,641.60 and 902.95

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Solution

The fourth proportional to 3,094.74, 4,641.60 and 902.95 is: 1,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.74 : 4,641.60 = 902.95 : x
  2. Step 2: Convert to fraction form
    3,094.74/4,641.60 = 902.95/x
  3. Step 3: Cross multiply
    3,094.74x = 4,641.60 × 902.95
  4. Step 4: Simplify right side
    3,094.74x = 4,191,132.72
  5. Step 5: Solve for x
    x = 4,191,132.72/3,094.74
  6. Step 6: Final answer
    x = 1,354.28

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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.