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Finding the Fourth Proportional to 4,182.60, 6,272.13 and 1,259.31

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Solution

The fourth proportional to 4,182.60, 6,272.13 and 1,259.31 is: 1,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.60 : 6,272.13 = 1,259.31 : x
  2. Step 2: Convert to fraction form
    4,182.60/6,272.13 = 1,259.31/x
  3. Step 3: Cross multiply
    4,182.60x = 6,272.13 × 1,259.31
  4. Step 4: Simplify right side
    4,182.60x = 7,898,556.03
  5. Step 5: Solve for x
    x = 7,898,556.03/4,182.60
  6. Step 6: Final answer
    x = 1,888.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.