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Finding the Fourth Proportional to 2,492.03, 3,738.32 and 932.78

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Solution

The fourth proportional to 2,492.03, 3,738.32 and 932.78 is: 1,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.03 : 3,738.32 = 932.78 : x
  2. Step 2: Convert to fraction form
    2,492.03/3,738.32 = 932.78/x
  3. Step 3: Cross multiply
    2,492.03x = 3,738.32 × 932.78
  4. Step 4: Simplify right side
    2,492.03x = 3,487,006.77
  5. Step 5: Solve for x
    x = 3,487,006.77/2,492.03
  6. Step 6: Final answer
    x = 1,399.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.