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Finding the Fourth Proportional to 2,649.62, 3,965.91 and 2,547.56

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Solution

The fourth proportional to 2,649.62, 3,965.91 and 2,547.56 is: 3,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.62 : 3,965.91 = 2,547.56 : x
  2. Step 2: Convert to fraction form
    2,649.62/3,965.91 = 2,547.56/x
  3. Step 3: Cross multiply
    2,649.62x = 3,965.91 × 2,547.56
  4. Step 4: Simplify right side
    2,649.62x = 10,103,373.85
  5. Step 5: Solve for x
    x = 10,103,373.85/2,649.62
  6. Step 6: Final answer
    x = 3,813.15

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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.