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Finding the Fourth Proportional to 2,590.48, 3,882.48 and 1,292.32

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Solution

The fourth proportional to 2,590.48, 3,882.48 and 1,292.32 is: 1,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.48 : 3,882.48 = 1,292.32 : x
  2. Step 2: Convert to fraction form
    2,590.48/3,882.48 = 1,292.32/x
  3. Step 3: Cross multiply
    2,590.48x = 3,882.48 × 1,292.32
  4. Step 4: Simplify right side
    2,590.48x = 5,017,406.55
  5. Step 5: Solve for x
    x = 5,017,406.55/2,590.48
  6. Step 6: Final answer
    x = 1,936.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.