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Finding the Fourth Proportional to 1,439.64, 2,160.36 and 618.30

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Solution

The fourth proportional to 1,439.64, 2,160.36 and 618.30 is: 927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.64 : 2,160.36 = 618.30 : x
  2. Step 2: Convert to fraction form
    1,439.64/2,160.36 = 618.30/x
  3. Step 3: Cross multiply
    1,439.64x = 2,160.36 × 618.30
  4. Step 4: Simplify right side
    1,439.64x = 1,335,750.59
  5. Step 5: Solve for x
    x = 1,335,750.59/1,439.64
  6. Step 6: Final answer
    x = 927.84

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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.