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Finding the Fourth Proportional to 2,864.68, 4,288.36 and 2,590.90

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Solution

The fourth proportional to 2,864.68, 4,288.36 and 2,590.90 is: 3,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.68 : 4,288.36 = 2,590.90 : x
  2. Step 2: Convert to fraction form
    2,864.68/4,288.36 = 2,590.90/x
  3. Step 3: Cross multiply
    2,864.68x = 4,288.36 × 2,590.90
  4. Step 4: Simplify right side
    2,864.68x = 11,110,711.92
  5. Step 5: Solve for x
    x = 11,110,711.92/2,864.68
  6. Step 6: Final answer
    x = 3,878.52

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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.