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Finding the Fourth Proportional to 2,459.58, 3,687.21 and 921.66

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Solution

The fourth proportional to 2,459.58, 3,687.21 and 921.66 is: 1,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.58 : 3,687.21 = 921.66 : x
  2. Step 2: Convert to fraction form
    2,459.58/3,687.21 = 921.66/x
  3. Step 3: Cross multiply
    2,459.58x = 3,687.21 × 921.66
  4. Step 4: Simplify right side
    2,459.58x = 3,398,353.97
  5. Step 5: Solve for x
    x = 3,398,353.97/2,459.58
  6. Step 6: Final answer
    x = 1,381.68

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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.