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Finding the Fourth Proportional to 2,376.44, 3,565.89 and 1,687.54

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Solution

The fourth proportional to 2,376.44, 3,565.89 and 1,687.54 is: 2,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.44 : 3,565.89 = 1,687.54 : x
  2. Step 2: Convert to fraction form
    2,376.44/3,565.89 = 1,687.54/x
  3. Step 3: Cross multiply
    2,376.44x = 3,565.89 × 1,687.54
  4. Step 4: Simplify right side
    2,376.44x = 6,017,582.01
  5. Step 5: Solve for x
    x = 6,017,582.01/2,376.44
  6. Step 6: Final answer
    x = 2,532.18

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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.