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Finding the Fourth Proportional to 2,405.85, 3,320.90 and 1,411.44

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Solution

The fourth proportional to 2,405.85, 3,320.90 and 1,411.44 is: 1,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.85 : 3,320.90 = 1,411.44 : x
  2. Step 2: Convert to fraction form
    2,405.85/3,320.90 = 1,411.44/x
  3. Step 3: Cross multiply
    2,405.85x = 3,320.90 × 1,411.44
  4. Step 4: Simplify right side
    2,405.85x = 4,687,251.10
  5. Step 5: Solve for x
    x = 4,687,251.10/2,405.85
  6. Step 6: Final answer
    x = 1,948.27

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Why These Related Problems?

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