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Finding the Fourth Proportional to 3,094.64, 4,642.06 and 903.18

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Solution

The fourth proportional to 3,094.64, 4,642.06 and 903.18 is: 1,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.64 : 4,642.06 = 903.18 : x
  2. Step 2: Convert to fraction form
    3,094.64/4,642.06 = 903.18/x
  3. Step 3: Cross multiply
    3,094.64x = 4,642.06 × 903.18
  4. Step 4: Simplify right side
    3,094.64x = 4,192,615.75
  5. Step 5: Solve for x
    x = 4,192,615.75/3,094.64
  6. Step 6: Final answer
    x = 1,354.80

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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.