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Finding the Fourth Proportional to 3,148.84, 4,343.14 and 2,309.80

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Solution

The fourth proportional to 3,148.84, 4,343.14 and 2,309.80 is: 3,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.84 : 4,343.14 = 2,309.80 : x
  2. Step 2: Convert to fraction form
    3,148.84/4,343.14 = 2,309.80/x
  3. Step 3: Cross multiply
    3,148.84x = 4,343.14 × 2,309.80
  4. Step 4: Simplify right side
    3,148.84x = 10,031,784.77
  5. Step 5: Solve for x
    x = 10,031,784.77/3,148.84
  6. Step 6: Final answer
    x = 3,185.87

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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.