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Finding the Fourth Proportional to 2,353.86, 3,248.28 and 1,291.59

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Solution

The fourth proportional to 2,353.86, 3,248.28 and 1,291.59 is: 1,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.86 : 3,248.28 = 1,291.59 : x
  2. Step 2: Convert to fraction form
    2,353.86/3,248.28 = 1,291.59/x
  3. Step 3: Cross multiply
    2,353.86x = 3,248.28 × 1,291.59
  4. Step 4: Simplify right side
    2,353.86x = 4,195,445.97
  5. Step 5: Solve for x
    x = 4,195,445.97/2,353.86
  6. Step 6: Final answer
    x = 1,782.37

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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.