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Finding the Fourth Proportional to 2,043.96, 3,061.47 and 1,580.52

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Solution

The fourth proportional to 2,043.96, 3,061.47 and 1,580.52 is: 2,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.96 : 3,061.47 = 1,580.52 : x
  2. Step 2: Convert to fraction form
    2,043.96/3,061.47 = 1,580.52/x
  3. Step 3: Cross multiply
    2,043.96x = 3,061.47 × 1,580.52
  4. Step 4: Simplify right side
    2,043.96x = 4,838,714.56
  5. Step 5: Solve for x
    x = 4,838,714.56/2,043.96
  6. Step 6: Final answer
    x = 2,367.32

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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.