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Finding the Fourth Proportional to 3,169.85, 4,374.01 and 1,753.34

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Solution

The fourth proportional to 3,169.85, 4,374.01 and 1,753.34 is: 2,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.85 : 4,374.01 = 1,753.34 : x
  2. Step 2: Convert to fraction form
    3,169.85/4,374.01 = 1,753.34/x
  3. Step 3: Cross multiply
    3,169.85x = 4,374.01 × 1,753.34
  4. Step 4: Simplify right side
    3,169.85x = 7,669,133.25
  5. Step 5: Solve for x
    x = 7,669,133.25/3,169.85
  6. Step 6: Final answer
    x = 2,419.40

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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.