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Finding the Fourth Proportional to 1,586.54, 2,377.64 and 1,008.38

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Solution

The fourth proportional to 1,586.54, 2,377.64 and 1,008.38 is: 1,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.54 : 2,377.64 = 1,008.38 : x
  2. Step 2: Convert to fraction form
    1,586.54/2,377.64 = 1,008.38/x
  3. Step 3: Cross multiply
    1,586.54x = 2,377.64 × 1,008.38
  4. Step 4: Simplify right side
    1,586.54x = 2,397,564.62
  5. Step 5: Solve for x
    x = 2,397,564.62/1,586.54
  6. Step 6: Final answer
    x = 1,511.19

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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.