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Finding the Fourth Proportional to 2,348.61, 3,240.96 and 1,286.31

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Solution

The fourth proportional to 2,348.61, 3,240.96 and 1,286.31 is: 1,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.61 : 3,240.96 = 1,286.31 : x
  2. Step 2: Convert to fraction form
    2,348.61/3,240.96 = 1,286.31/x
  3. Step 3: Cross multiply
    2,348.61x = 3,240.96 × 1,286.31
  4. Step 4: Simplify right side
    2,348.61x = 4,168,886.59
  5. Step 5: Solve for x
    x = 4,168,886.59/2,348.61
  6. Step 6: Final answer
    x = 1,775.05

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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.