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Finding the Fourth Proportional to 2,492, 3,737.76 and 736.92

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Solution

The fourth proportional to 2,492, 3,737.76 and 736.92 is: 1,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492 : 3,737.76 = 736.92 : x
  2. Step 2: Convert to fraction form
    2,492/3,737.76 = 736.92/x
  3. Step 3: Cross multiply
    2,492x = 3,737.76 × 736.92
  4. Step 4: Simplify right side
    2,492x = 2,754,430.10
  5. Step 5: Solve for x
    x = 2,754,430.10/2,492
  6. Step 6: Final answer
    x = 1,105.31

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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.