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Finding the Fourth Proportional to 2,406.24, 3,607.14 and 866.88

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Solution

The fourth proportional to 2,406.24, 3,607.14 and 866.88 is: 1,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.24 : 3,607.14 = 866.88 : x
  2. Step 2: Convert to fraction form
    2,406.24/3,607.14 = 866.88/x
  3. Step 3: Cross multiply
    2,406.24x = 3,607.14 × 866.88
  4. Step 4: Simplify right side
    2,406.24x = 3,126,957.52
  5. Step 5: Solve for x
    x = 3,126,957.52/2,406.24
  6. Step 6: Final answer
    x = 1,299.52

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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.