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Finding the Fourth Proportional to 2,447.94, 3,378.71 and 1,915.77

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Solution

The fourth proportional to 2,447.94, 3,378.71 and 1,915.77 is: 2,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.94 : 3,378.71 = 1,915.77 : x
  2. Step 2: Convert to fraction form
    2,447.94/3,378.71 = 1,915.77/x
  3. Step 3: Cross multiply
    2,447.94x = 3,378.71 × 1,915.77
  4. Step 4: Simplify right side
    2,447.94x = 6,472,831.26
  5. Step 5: Solve for x
    x = 6,472,831.26/2,447.94
  6. Step 6: Final answer
    x = 2,644.20

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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.