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Finding the Fourth Proportional to 2,127.71, 2,935.29 and 1,418.86

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Solution

The fourth proportional to 2,127.71, 2,935.29 and 1,418.86 is: 1,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.71 : 2,935.29 = 1,418.86 : x
  2. Step 2: Convert to fraction form
    2,127.71/2,935.29 = 1,418.86/x
  3. Step 3: Cross multiply
    2,127.71x = 2,935.29 × 1,418.86
  4. Step 4: Simplify right side
    2,127.71x = 4,164,765.57
  5. Step 5: Solve for x
    x = 4,164,765.57/2,127.71
  6. Step 6: Final answer
    x = 1,957.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.