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Finding the Fourth Proportional to 2,037.33, 3,056.86 and 868.12

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Solution

The fourth proportional to 2,037.33, 3,056.86 and 868.12 is: 1,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.33 : 3,056.86 = 868.12 : x
  2. Step 2: Convert to fraction form
    2,037.33/3,056.86 = 868.12/x
  3. Step 3: Cross multiply
    2,037.33x = 3,056.86 × 868.12
  4. Step 4: Simplify right side
    2,037.33x = 2,653,721.30
  5. Step 5: Solve for x
    x = 2,653,721.30/2,037.33
  6. Step 6: Final answer
    x = 1,302.55

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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.