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Finding the Fourth Proportional to 2,590.25, 3,892.86 and 2,154.20

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Solution

The fourth proportional to 2,590.25, 3,892.86 and 2,154.20 is: 3,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.25 : 3,892.86 = 2,154.20 : x
  2. Step 2: Convert to fraction form
    2,590.25/3,892.86 = 2,154.20/x
  3. Step 3: Cross multiply
    2,590.25x = 3,892.86 × 2,154.20
  4. Step 4: Simplify right side
    2,590.25x = 8,385,979.55
  5. Step 5: Solve for x
    x = 8,385,979.55/2,590.25
  6. Step 6: Final answer
    x = 3,237.52

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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.