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Finding the Fourth Proportional to 2,052.73, 2,833.13 and 1,156.87

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Solution

The fourth proportional to 2,052.73, 2,833.13 and 1,156.87 is: 1,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.73 : 2,833.13 = 1,156.87 : x
  2. Step 2: Convert to fraction form
    2,052.73/2,833.13 = 1,156.87/x
  3. Step 3: Cross multiply
    2,052.73x = 2,833.13 × 1,156.87
  4. Step 4: Simplify right side
    2,052.73x = 3,277,569.54
  5. Step 5: Solve for x
    x = 3,277,569.54/2,052.73
  6. Step 6: Final answer
    x = 1,596.69

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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.