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Finding the Fourth Proportional to 2,685.52, 4,029.60 and 1,043.20

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Solution

The fourth proportional to 2,685.52, 4,029.60 and 1,043.20 is: 1,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.52 : 4,029.60 = 1,043.20 : x
  2. Step 2: Convert to fraction form
    2,685.52/4,029.60 = 1,043.20/x
  3. Step 3: Cross multiply
    2,685.52x = 4,029.60 × 1,043.20
  4. Step 4: Simplify right side
    2,685.52x = 4,203,678.72
  5. Step 5: Solve for x
    x = 4,203,678.72/2,685.52
  6. Step 6: Final answer
    x = 1,565.31

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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.