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Finding the Fourth Proportional to 2,103.90, 3,153.15 and 1,614.53

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Solution

The fourth proportional to 2,103.90, 3,153.15 and 1,614.53 is: 2,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.90 : 3,153.15 = 1,614.53 : x
  2. Step 2: Convert to fraction form
    2,103.90/3,153.15 = 1,614.53/x
  3. Step 3: Cross multiply
    2,103.90x = 3,153.15 × 1,614.53
  4. Step 4: Simplify right side
    2,103.90x = 5,090,839.50
  5. Step 5: Solve for x
    x = 5,090,839.50/2,103.90
  6. Step 6: Final answer
    x = 2,419.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.