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Finding the Fourth Proportional to 2,611.53, 3,920.04 and 2,552.76

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Solution

The fourth proportional to 2,611.53, 3,920.04 and 2,552.76 is: 3,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.53 : 3,920.04 = 2,552.76 : x
  2. Step 2: Convert to fraction form
    2,611.53/3,920.04 = 2,552.76/x
  3. Step 3: Cross multiply
    2,611.53x = 3,920.04 × 2,552.76
  4. Step 4: Simplify right side
    2,611.53x = 10,006,921.31
  5. Step 5: Solve for x
    x = 10,006,921.31/2,611.53
  6. Step 6: Final answer
    x = 3,831.82

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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.