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Finding the Fourth Proportional to 1,350.49, 1,862.30 and 1,200.66

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Solution

The fourth proportional to 1,350.49, 1,862.30 and 1,200.66 is: 1,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.49 : 1,862.30 = 1,200.66 : x
  2. Step 2: Convert to fraction form
    1,350.49/1,862.30 = 1,200.66/x
  3. Step 3: Cross multiply
    1,350.49x = 1,862.30 × 1,200.66
  4. Step 4: Simplify right side
    1,350.49x = 2,235,989.12
  5. Step 5: Solve for x
    x = 2,235,989.12/1,350.49
  6. Step 6: Final answer
    x = 1,655.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.