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Finding the Fourth Proportional to 2,353.90, 3,248.43 and 1,291.71

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Solution

The fourth proportional to 2,353.90, 3,248.43 and 1,291.71 is: 1,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.90 : 3,248.43 = 1,291.71 : x
  2. Step 2: Convert to fraction form
    2,353.90/3,248.43 = 1,291.71/x
  3. Step 3: Cross multiply
    2,353.90x = 3,248.43 × 1,291.71
  4. Step 4: Simplify right side
    2,353.90x = 4,196,029.52
  5. Step 5: Solve for x
    x = 4,196,029.52/2,353.90
  6. Step 6: Final answer
    x = 1,782.59

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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.