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Finding the Fourth Proportional to 3,132, 4,699.08 and 1,743.66

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Solution

The fourth proportional to 3,132, 4,699.08 and 1,743.66 is: 2,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132 : 4,699.08 = 1,743.66 : x
  2. Step 2: Convert to fraction form
    3,132/4,699.08 = 1,743.66/x
  3. Step 3: Cross multiply
    3,132x = 4,699.08 × 1,743.66
  4. Step 4: Simplify right side
    3,132x = 8,193,597.83
  5. Step 5: Solve for x
    x = 8,193,597.83/3,132
  6. Step 6: Final answer
    x = 2,616.09

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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.