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Finding the Fourth Proportional to 2,982.04, 4,115.12 and 1,655.70

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Solution

The fourth proportional to 2,982.04, 4,115.12 and 1,655.70 is: 2,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.04 : 4,115.12 = 1,655.70 : x
  2. Step 2: Convert to fraction form
    2,982.04/4,115.12 = 1,655.70/x
  3. Step 3: Cross multiply
    2,982.04x = 4,115.12 × 1,655.70
  4. Step 4: Simplify right side
    2,982.04x = 6,813,404.18
  5. Step 5: Solve for x
    x = 6,813,404.18/2,982.04
  6. Step 6: Final answer
    x = 2,284.81

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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.