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Finding the Fourth Proportional to 1,792.24, 2,688.02 and 1,447.58

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Solution

The fourth proportional to 1,792.24, 2,688.02 and 1,447.58 is: 2,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.24 : 2,688.02 = 1,447.58 : x
  2. Step 2: Convert to fraction form
    1,792.24/2,688.02 = 1,447.58/x
  3. Step 3: Cross multiply
    1,792.24x = 2,688.02 × 1,447.58
  4. Step 4: Simplify right side
    1,792.24x = 3,891,123.99
  5. Step 5: Solve for x
    x = 3,891,123.99/1,792.24
  6. Step 6: Final answer
    x = 2,171.10

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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.