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Finding the Fourth Proportional to 1,587.32, 2,379 and 1,223.48

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Solution

The fourth proportional to 1,587.32, 2,379 and 1,223.48 is: 1,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.32 : 2,379 = 1,223.48 : x
  2. Step 2: Convert to fraction form
    1,587.32/2,379 = 1,223.48/x
  3. Step 3: Cross multiply
    1,587.32x = 2,379 × 1,223.48
  4. Step 4: Simplify right side
    1,587.32x = 2,910,658.92
  5. Step 5: Solve for x
    x = 2,910,658.92/1,587.32
  6. Step 6: Final answer
    x = 1,833.69

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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.