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Finding the Fourth Proportional to 2,938.40, 4,407.36 and 747.04

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Solution

The fourth proportional to 2,938.40, 4,407.36 and 747.04 is: 1,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.40 : 4,407.36 = 747.04 : x
  2. Step 2: Convert to fraction form
    2,938.40/4,407.36 = 747.04/x
  3. Step 3: Cross multiply
    2,938.40x = 4,407.36 × 747.04
  4. Step 4: Simplify right side
    2,938.40x = 3,292,474.21
  5. Step 5: Solve for x
    x = 3,292,474.21/2,938.40
  6. Step 6: Final answer
    x = 1,120.50

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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.