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Finding the Fourth Proportional to 2,309.93, 3,188.76 and 1,471.78

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Solution

The fourth proportional to 2,309.93, 3,188.76 and 1,471.78 is: 2,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.93 : 3,188.76 = 1,471.78 : x
  2. Step 2: Convert to fraction form
    2,309.93/3,188.76 = 1,471.78/x
  3. Step 3: Cross multiply
    2,309.93x = 3,188.76 × 1,471.78
  4. Step 4: Simplify right side
    2,309.93x = 4,693,151.66
  5. Step 5: Solve for x
    x = 4,693,151.66/2,309.93
  6. Step 6: Final answer
    x = 2,031.73

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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.