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Finding the Fourth Proportional to 2,169.13, 2,988.03 and 2,057.95

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Solution

The fourth proportional to 2,169.13, 2,988.03 and 2,057.95 is: 2,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.13 : 2,988.03 = 2,057.95 : x
  2. Step 2: Convert to fraction form
    2,169.13/2,988.03 = 2,057.95/x
  3. Step 3: Cross multiply
    2,169.13x = 2,988.03 × 2,057.95
  4. Step 4: Simplify right side
    2,169.13x = 6,149,216.34
  5. Step 5: Solve for x
    x = 6,149,216.34/2,169.13
  6. Step 6: Final answer
    x = 2,834.88

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