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Finding the Fourth Proportional to 3,142.90, 4,696.25 and 2,398.24

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Solution

The fourth proportional to 3,142.90, 4,696.25 and 2,398.24 is: 3,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.90 : 4,696.25 = 2,398.24 : x
  2. Step 2: Convert to fraction form
    3,142.90/4,696.25 = 2,398.24/x
  3. Step 3: Cross multiply
    3,142.90x = 4,696.25 × 2,398.24
  4. Step 4: Simplify right side
    3,142.90x = 11,262,734.60
  5. Step 5: Solve for x
    x = 11,262,734.60/3,142.90
  6. Step 6: Final answer
    x = 3,583.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.