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Finding the Fourth Proportional to 1,571.44, 2,165.60 and 1,039.76

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Solution

The fourth proportional to 1,571.44, 2,165.60 and 1,039.76 is: 1,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.44 : 2,165.60 = 1,039.76 : x
  2. Step 2: Convert to fraction form
    1,571.44/2,165.60 = 1,039.76/x
  3. Step 3: Cross multiply
    1,571.44x = 2,165.60 × 1,039.76
  4. Step 4: Simplify right side
    1,571.44x = 2,251,704.26
  5. Step 5: Solve for x
    x = 2,251,704.26/1,571.44
  6. Step 6: Final answer
    x = 1,432.89

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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.