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Finding the Fourth Proportional to 2,590.62, 3,575.14 and 1,471.52

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Solution

The fourth proportional to 2,590.62, 3,575.14 and 1,471.52 is: 2,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.62 : 3,575.14 = 1,471.52 : x
  2. Step 2: Convert to fraction form
    2,590.62/3,575.14 = 1,471.52/x
  3. Step 3: Cross multiply
    2,590.62x = 3,575.14 × 1,471.52
  4. Step 4: Simplify right side
    2,590.62x = 5,260,890.01
  5. Step 5: Solve for x
    x = 5,260,890.01/2,590.62
  6. Step 6: Final answer
    x = 2,030.75

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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.