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Finding the Fourth Proportional to 2,590.38, 3,575.14 and 1,528.17

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Solution

The fourth proportional to 2,590.38, 3,575.14 and 1,528.17 is: 2,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.38 : 3,575.14 = 1,528.17 : x
  2. Step 2: Convert to fraction form
    2,590.38/3,575.14 = 1,528.17/x
  3. Step 3: Cross multiply
    2,590.38x = 3,575.14 × 1,528.17
  4. Step 4: Simplify right side
    2,590.38x = 5,463,404.47
  5. Step 5: Solve for x
    x = 5,463,404.47/2,590.38
  6. Step 6: Final answer
    x = 2,109.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.