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Finding the Fourth Proportional to 1,580.05, 2,370.17 and 1,232.71

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Solution

The fourth proportional to 1,580.05, 2,370.17 and 1,232.71 is: 1,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.05 : 2,370.17 = 1,232.71 : x
  2. Step 2: Convert to fraction form
    1,580.05/2,370.17 = 1,232.71/x
  3. Step 3: Cross multiply
    1,580.05x = 2,370.17 × 1,232.71
  4. Step 4: Simplify right side
    1,580.05x = 2,921,732.26
  5. Step 5: Solve for x
    x = 2,921,732.26/1,580.05
  6. Step 6: Final answer
    x = 1,849.14

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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.