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Finding the Fourth Proportional to 1,586.08, 2,379.72 and 1,098.86

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Solution

The fourth proportional to 1,586.08, 2,379.72 and 1,098.86 is: 1,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.08 : 2,379.72 = 1,098.86 : x
  2. Step 2: Convert to fraction form
    1,586.08/2,379.72 = 1,098.86/x
  3. Step 3: Cross multiply
    1,586.08x = 2,379.72 × 1,098.86
  4. Step 4: Simplify right side
    1,586.08x = 2,614,979.12
  5. Step 5: Solve for x
    x = 2,614,979.12/1,586.08
  6. Step 6: Final answer
    x = 1,648.71

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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.