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Finding the Fourth Proportional to 2,590.89, 3,576.47 and 1,542.75

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Solution

The fourth proportional to 2,590.89, 3,576.47 and 1,542.75 is: 2,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.89 : 3,576.47 = 1,542.75 : x
  2. Step 2: Convert to fraction form
    2,590.89/3,576.47 = 1,542.75/x
  3. Step 3: Cross multiply
    2,590.89x = 3,576.47 × 1,542.75
  4. Step 4: Simplify right side
    2,590.89x = 5,517,599.09
  5. Step 5: Solve for x
    x = 5,517,599.09/2,590.89
  6. Step 6: Final answer
    x = 2,129.62

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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.