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Finding the Fourth Proportional to 2,340.14, 3,507.16 and 951.84

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Solution

The fourth proportional to 2,340.14, 3,507.16 and 951.84 is: 1,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.14 : 3,507.16 = 951.84 : x
  2. Step 2: Convert to fraction form
    2,340.14/3,507.16 = 951.84/x
  3. Step 3: Cross multiply
    2,340.14x = 3,507.16 × 951.84
  4. Step 4: Simplify right side
    2,340.14x = 3,338,255.17
  5. Step 5: Solve for x
    x = 3,338,255.17/2,340.14
  6. Step 6: Final answer
    x = 1,426.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.