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Finding the Fourth Proportional to 2,133.31, 2,942.65 and 1,248.52

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Solution

The fourth proportional to 2,133.31, 2,942.65 and 1,248.52 is: 1,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.31 : 2,942.65 = 1,248.52 : x
  2. Step 2: Convert to fraction form
    2,133.31/2,942.65 = 1,248.52/x
  3. Step 3: Cross multiply
    2,133.31x = 2,942.65 × 1,248.52
  4. Step 4: Simplify right side
    2,133.31x = 3,673,957.38
  5. Step 5: Solve for x
    x = 3,673,957.38/2,133.31
  6. Step 6: Final answer
    x = 1,722.19

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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.