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Finding the Fourth Proportional to 1,602.52, 2,405.58 and 1,241.66

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Solution

The fourth proportional to 1,602.52, 2,405.58 and 1,241.66 is: 1,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.52 : 2,405.58 = 1,241.66 : x
  2. Step 2: Convert to fraction form
    1,602.52/2,405.58 = 1,241.66/x
  3. Step 3: Cross multiply
    1,602.52x = 2,405.58 × 1,241.66
  4. Step 4: Simplify right side
    1,602.52x = 2,986,912.46
  5. Step 5: Solve for x
    x = 2,986,912.46/1,602.52
  6. Step 6: Final answer
    x = 1,863.88

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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.