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Finding the Fourth Proportional to 2,327.64, 3,486.90 and 1,545.33

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Solution

The fourth proportional to 2,327.64, 3,486.90 and 1,545.33 is: 2,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.64 : 3,486.90 = 1,545.33 : x
  2. Step 2: Convert to fraction form
    2,327.64/3,486.90 = 1,545.33/x
  3. Step 3: Cross multiply
    2,327.64x = 3,486.90 × 1,545.33
  4. Step 4: Simplify right side
    2,327.64x = 5,388,401.74
  5. Step 5: Solve for x
    x = 5,388,401.74/2,327.64
  6. Step 6: Final answer
    x = 2,314.97

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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.