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Finding the Fourth Proportional to 1,405.32, 1,939.24 and 1,142.88

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Solution

The fourth proportional to 1,405.32, 1,939.24 and 1,142.88 is: 1,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.32 : 1,939.24 = 1,142.88 : x
  2. Step 2: Convert to fraction form
    1,405.32/1,939.24 = 1,142.88/x
  3. Step 3: Cross multiply
    1,405.32x = 1,939.24 × 1,142.88
  4. Step 4: Simplify right side
    1,405.32x = 2,216,318.61
  5. Step 5: Solve for x
    x = 2,216,318.61/1,405.32
  6. Step 6: Final answer
    x = 1,577.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.