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Finding the Fourth Proportional to 2,103.90, 3,159.45 and 2,039.10

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Solution

The fourth proportional to 2,103.90, 3,159.45 and 2,039.10 is: 3,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.90 : 3,159.45 = 2,039.10 : x
  2. Step 2: Convert to fraction form
    2,103.90/3,159.45 = 2,039.10/x
  3. Step 3: Cross multiply
    2,103.90x = 3,159.45 × 2,039.10
  4. Step 4: Simplify right side
    2,103.90x = 6,442,434.50
  5. Step 5: Solve for x
    x = 6,442,434.50/2,103.90
  6. Step 6: Final answer
    x = 3,062.14

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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.