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Finding the Fourth Proportional to 2,458.38, 3,395.88 and 2,283.42

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Solution

The fourth proportional to 2,458.38, 3,395.88 and 2,283.42 is: 3,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.38 : 3,395.88 = 2,283.42 : x
  2. Step 2: Convert to fraction form
    2,458.38/3,395.88 = 2,283.42/x
  3. Step 3: Cross multiply
    2,458.38x = 3,395.88 × 2,283.42
  4. Step 4: Simplify right side
    2,458.38x = 7,754,220.31
  5. Step 5: Solve for x
    x = 7,754,220.31/2,458.38
  6. Step 6: Final answer
    x = 3,154.20

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Why These Related Problems?

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