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Finding the Fourth Proportional to 3,140.78, 4,335.73 and 2,397.80

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Solution

The fourth proportional to 3,140.78, 4,335.73 and 2,397.80 is: 3,310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.78 : 4,335.73 = 2,397.80 : x
  2. Step 2: Convert to fraction form
    3,140.78/4,335.73 = 2,397.80/x
  3. Step 3: Cross multiply
    3,140.78x = 4,335.73 × 2,397.80
  4. Step 4: Simplify right side
    3,140.78x = 10,396,218.24
  5. Step 5: Solve for x
    x = 10,396,218.24/3,140.78
  6. Step 6: Final answer
    x = 3,310.08

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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.