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Finding the Fourth Proportional to 3,681.60, 5,523.48 and 1,734

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Solution

The fourth proportional to 3,681.60, 5,523.48 and 1,734 is: 2,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.60 : 5,523.48 = 1,734 : x
  2. Step 2: Convert to fraction form
    3,681.60/5,523.48 = 1,734/x
  3. Step 3: Cross multiply
    3,681.60x = 5,523.48 × 1,734
  4. Step 4: Simplify right side
    3,681.60x = 9,577,714.32
  5. Step 5: Solve for x
    x = 9,577,714.32/3,681.60
  6. Step 6: Final answer
    x = 2,601.51

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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.