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Finding the Fourth Proportional to 2,377.46, 3,565.26 and 1,644.81

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Solution

The fourth proportional to 2,377.46, 3,565.26 and 1,644.81 is: 2,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.46 : 3,565.26 = 1,644.81 : x
  2. Step 2: Convert to fraction form
    2,377.46/3,565.26 = 1,644.81/x
  3. Step 3: Cross multiply
    2,377.46x = 3,565.26 × 1,644.81
  4. Step 4: Simplify right side
    2,377.46x = 5,864,175.30
  5. Step 5: Solve for x
    x = 5,864,175.30/2,377.46
  6. Step 6: Final answer
    x = 2,466.58

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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.