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Finding the Fourth Proportional to 2,938.36, 4,407.57 and 747.03

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Solution

The fourth proportional to 2,938.36, 4,407.57 and 747.03 is: 1,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.36 : 4,407.57 = 747.03 : x
  2. Step 2: Convert to fraction form
    2,938.36/4,407.57 = 747.03/x
  3. Step 3: Cross multiply
    2,938.36x = 4,407.57 × 747.03
  4. Step 4: Simplify right side
    2,938.36x = 3,292,587.02
  5. Step 5: Solve for x
    x = 3,292,587.02/2,938.36
  6. Step 6: Final answer
    x = 1,120.55

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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.