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Finding the Fourth Proportional to 2,617.71, 3,611.09 and 1,778.15

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Solution

The fourth proportional to 2,617.71, 3,611.09 and 1,778.15 is: 2,452.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.71 : 3,611.09 = 1,778.15 : x
  2. Step 2: Convert to fraction form
    2,617.71/3,611.09 = 1,778.15/x
  3. Step 3: Cross multiply
    2,617.71x = 3,611.09 × 1,778.15
  4. Step 4: Simplify right side
    2,617.71x = 6,421,041.63
  5. Step 5: Solve for x
    x = 6,421,041.63/2,617.71
  6. Step 6: Final answer
    x = 2,452.92

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