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Finding the Fourth Proportional to 2,340.76, 3,230.42 and 1,346.28

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Solution

The fourth proportional to 2,340.76, 3,230.42 and 1,346.28 is: 1,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.76 : 3,230.42 = 1,346.28 : x
  2. Step 2: Convert to fraction form
    2,340.76/3,230.42 = 1,346.28/x
  3. Step 3: Cross multiply
    2,340.76x = 3,230.42 × 1,346.28
  4. Step 4: Simplify right side
    2,340.76x = 4,349,049.84
  5. Step 5: Solve for x
    x = 4,349,049.84/2,340.76
  6. Step 6: Final answer
    x = 1,857.96

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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.