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Finding the Fourth Proportional to 2,590.90, 3,575.28 and 1,542.76

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Solution

The fourth proportional to 2,590.90, 3,575.28 and 1,542.76 is: 2,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.90 : 3,575.28 = 1,542.76 : x
  2. Step 2: Convert to fraction form
    2,590.90/3,575.28 = 1,542.76/x
  3. Step 3: Cross multiply
    2,590.90x = 3,575.28 × 1,542.76
  4. Step 4: Simplify right side
    2,590.90x = 5,515,798.97
  5. Step 5: Solve for x
    x = 5,515,798.97/2,590.90
  6. Step 6: Final answer
    x = 2,128.91

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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.