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Finding the Fourth Proportional to 2,117.86, 3,177.87 and 1,957.48

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Solution

The fourth proportional to 2,117.86, 3,177.87 and 1,957.48 is: 2,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.86 : 3,177.87 = 1,957.48 : x
  2. Step 2: Convert to fraction form
    2,117.86/3,177.87 = 1,957.48/x
  3. Step 3: Cross multiply
    2,117.86x = 3,177.87 × 1,957.48
  4. Step 4: Simplify right side
    2,117.86x = 6,220,616.97
  5. Step 5: Solve for x
    x = 6,220,616.97/2,117.86
  6. Step 6: Final answer
    x = 2,937.22

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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.