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Finding the Fourth Proportional to 2,264.59, 3,378.88 and 1,987.57

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Solution

The fourth proportional to 2,264.59, 3,378.88 and 1,987.57 is: 2,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.59 : 3,378.88 = 1,987.57 : x
  2. Step 2: Convert to fraction form
    2,264.59/3,378.88 = 1,987.57/x
  3. Step 3: Cross multiply
    2,264.59x = 3,378.88 × 1,987.57
  4. Step 4: Simplify right side
    2,264.59x = 6,715,760.52
  5. Step 5: Solve for x
    x = 6,715,760.52/2,264.59
  6. Step 6: Final answer
    x = 2,965.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.