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Finding the Fourth Proportional to 2,915.77, 4,024.37 and 1,656.91

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Solution

The fourth proportional to 2,915.77, 4,024.37 and 1,656.91 is: 2,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.77 : 4,024.37 = 1,656.91 : x
  2. Step 2: Convert to fraction form
    2,915.77/4,024.37 = 1,656.91/x
  3. Step 3: Cross multiply
    2,915.77x = 4,024.37 × 1,656.91
  4. Step 4: Simplify right side
    2,915.77x = 6,668,010.61
  5. Step 5: Solve for x
    x = 6,668,010.61/2,915.77
  6. Step 6: Final answer
    x = 2,286.88

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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.