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Finding the Fourth Proportional to 2,492.08, 3,737.40 and 952.72

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Solution

The fourth proportional to 2,492.08, 3,737.40 and 952.72 is: 1,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.08 : 3,737.40 = 952.72 : x
  2. Step 2: Convert to fraction form
    2,492.08/3,737.40 = 952.72/x
  3. Step 3: Cross multiply
    2,492.08x = 3,737.40 × 952.72
  4. Step 4: Simplify right side
    2,492.08x = 3,560,695.73
  5. Step 5: Solve for x
    x = 3,560,695.73/2,492.08
  6. Step 6: Final answer
    x = 1,428.80

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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.