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Finding the Fourth Proportional to 2,342.76, 3,228.57 and 1,678.47

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Solution

The fourth proportional to 2,342.76, 3,228.57 and 1,678.47 is: 2,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.76 : 3,228.57 = 1,678.47 : x
  2. Step 2: Convert to fraction form
    2,342.76/3,228.57 = 1,678.47/x
  3. Step 3: Cross multiply
    2,342.76x = 3,228.57 × 1,678.47
  4. Step 4: Simplify right side
    2,342.76x = 5,419,057.89
  5. Step 5: Solve for x
    x = 5,419,057.89/2,342.76
  6. Step 6: Final answer
    x = 2,313.11

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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.