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Finding the Fourth Proportional to 2,073.17, 3,104.68 and 1,340.52

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Solution

The fourth proportional to 2,073.17, 3,104.68 and 1,340.52 is: 2,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.17 : 3,104.68 = 1,340.52 : x
  2. Step 2: Convert to fraction form
    2,073.17/3,104.68 = 1,340.52/x
  3. Step 3: Cross multiply
    2,073.17x = 3,104.68 × 1,340.52
  4. Step 4: Simplify right side
    2,073.17x = 4,161,885.63
  5. Step 5: Solve for x
    x = 4,161,885.63/2,073.17
  6. Step 6: Final answer
    x = 2,007.50

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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.