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Finding the Fourth Proportional to 2,344.77, 3,235.78 and 1,349.69

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Solution

The fourth proportional to 2,344.77, 3,235.78 and 1,349.69 is: 1,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.77 : 3,235.78 = 1,349.69 : x
  2. Step 2: Convert to fraction form
    2,344.77/3,235.78 = 1,349.69/x
  3. Step 3: Cross multiply
    2,344.77x = 3,235.78 × 1,349.69
  4. Step 4: Simplify right side
    2,344.77x = 4,367,276.98
  5. Step 5: Solve for x
    x = 4,367,276.98/2,344.77
  6. Step 6: Final answer
    x = 1,862.56

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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.