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Finding the Fourth Proportional to 1,807.32, 2,708.75 and 1,027.97

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Solution

The fourth proportional to 1,807.32, 2,708.75 and 1,027.97 is: 1,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.32 : 2,708.75 = 1,027.97 : x
  2. Step 2: Convert to fraction form
    1,807.32/2,708.75 = 1,027.97/x
  3. Step 3: Cross multiply
    1,807.32x = 2,708.75 × 1,027.97
  4. Step 4: Simplify right side
    1,807.32x = 2,784,513.74
  5. Step 5: Solve for x
    x = 2,784,513.74/1,807.32
  6. Step 6: Final answer
    x = 1,540.69

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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.