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Finding the Fourth Proportional to 1,344.18, 1,855.02 and 754.86

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Solution

The fourth proportional to 1,344.18, 1,855.02 and 754.86 is: 1,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.18 : 1,855.02 = 754.86 : x
  2. Step 2: Convert to fraction form
    1,344.18/1,855.02 = 754.86/x
  3. Step 3: Cross multiply
    1,344.18x = 1,855.02 × 754.86
  4. Step 4: Simplify right side
    1,344.18x = 1,400,280.40
  5. Step 5: Solve for x
    x = 1,400,280.40/1,344.18
  6. Step 6: Final answer
    x = 1,041.74

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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.