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Finding the Fourth Proportional to 2,495.90, 3,743.82 and 1,386

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Solution

The fourth proportional to 2,495.90, 3,743.82 and 1,386 is: 2,078.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.90 : 3,743.82 = 1,386 : x
  2. Step 2: Convert to fraction form
    2,495.90/3,743.82 = 1,386/x
  3. Step 3: Cross multiply
    2,495.90x = 3,743.82 × 1,386
  4. Step 4: Simplify right side
    2,495.90x = 5,188,934.52
  5. Step 5: Solve for x
    x = 5,188,934.52/2,495.90
  6. Step 6: Final answer
    x = 2,078.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.