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Finding the Fourth Proportional to 3,169.64, 4,374 and 1,753.31

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Solution

The fourth proportional to 3,169.64, 4,374 and 1,753.31 is: 2,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.64 : 4,374 = 1,753.31 : x
  2. Step 2: Convert to fraction form
    3,169.64/4,374 = 1,753.31/x
  3. Step 3: Cross multiply
    3,169.64x = 4,374 × 1,753.31
  4. Step 4: Simplify right side
    3,169.64x = 7,668,956.07
  5. Step 5: Solve for x
    x = 7,668,956.07/3,169.64
  6. Step 6: Final answer
    x = 2,419.50

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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.