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Finding the Fourth Proportional to 2,308.47, 3,186.81 and 1,424.76

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Solution

The fourth proportional to 2,308.47, 3,186.81 and 1,424.76 is: 1,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.47 : 3,186.81 = 1,424.76 : x
  2. Step 2: Convert to fraction form
    2,308.47/3,186.81 = 1,424.76/x
  3. Step 3: Cross multiply
    2,308.47x = 3,186.81 × 1,424.76
  4. Step 4: Simplify right side
    2,308.47x = 4,540,439.42
  5. Step 5: Solve for x
    x = 4,540,439.42/2,308.47
  6. Step 6: Final answer
    x = 1,966.86

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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.