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Finding the Fourth Proportional to 1,585.30, 2,380.65 and 1,126.30

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Solution

The fourth proportional to 1,585.30, 2,380.65 and 1,126.30 is: 1,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.30 : 2,380.65 = 1,126.30 : x
  2. Step 2: Convert to fraction form
    1,585.30/2,380.65 = 1,126.30/x
  3. Step 3: Cross multiply
    1,585.30x = 2,380.65 × 1,126.30
  4. Step 4: Simplify right side
    1,585.30x = 2,681,326.10
  5. Step 5: Solve for x
    x = 2,681,326.10/1,585.30
  6. Step 6: Final answer
    x = 1,691.37

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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.