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Finding the Fourth Proportional to 2,103.01, 3,154.53 and 1,377.19

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Solution

The fourth proportional to 2,103.01, 3,154.53 and 1,377.19 is: 2,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.01 : 3,154.53 = 1,377.19 : x
  2. Step 2: Convert to fraction form
    2,103.01/3,154.53 = 1,377.19/x
  3. Step 3: Cross multiply
    2,103.01x = 3,154.53 × 1,377.19
  4. Step 4: Simplify right side
    2,103.01x = 4,344,387.17
  5. Step 5: Solve for x
    x = 4,344,387.17/2,103.01
  6. Step 6: Final answer
    x = 2,065.79

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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.