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Finding the Fourth Proportional to 2,712.45, 4,071.12 and 1,414.83

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Solution

The fourth proportional to 2,712.45, 4,071.12 and 1,414.83 is: 2,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.45 : 4,071.12 = 1,414.83 : x
  2. Step 2: Convert to fraction form
    2,712.45/4,071.12 = 1,414.83/x
  3. Step 3: Cross multiply
    2,712.45x = 4,071.12 × 1,414.83
  4. Step 4: Simplify right side
    2,712.45x = 5,759,942.71
  5. Step 5: Solve for x
    x = 5,759,942.71/2,712.45
  6. Step 6: Final answer
    x = 2,123.52

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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.