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Finding the Fourth Proportional to 2,590.47, 3,593.15 and 2,497.07

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Solution

The fourth proportional to 2,590.47, 3,593.15 and 2,497.07 is: 3,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.47 : 3,593.15 = 2,497.07 : x
  2. Step 2: Convert to fraction form
    2,590.47/3,593.15 = 2,497.07/x
  3. Step 3: Cross multiply
    2,590.47x = 3,593.15 × 2,497.07
  4. Step 4: Simplify right side
    2,590.47x = 8,972,316.62
  5. Step 5: Solve for x
    x = 8,972,316.62/2,590.47
  6. Step 6: Final answer
    x = 3,463.59

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.