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Finding the Fourth Proportional to 2,301.86, 3,176.60 and 1,253.92

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Solution

The fourth proportional to 2,301.86, 3,176.60 and 1,253.92 is: 1,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.86 : 3,176.60 = 1,253.92 : x
  2. Step 2: Convert to fraction form
    2,301.86/3,176.60 = 1,253.92/x
  3. Step 3: Cross multiply
    2,301.86x = 3,176.60 × 1,253.92
  4. Step 4: Simplify right side
    2,301.86x = 3,983,188.06
  5. Step 5: Solve for x
    x = 3,983,188.06/2,301.86
  6. Step 6: Final answer
    x = 1,730.43

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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.