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Finding the Fourth Proportional to 2,338.48, 3,507.76 and 2,011.28

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Solution

The fourth proportional to 2,338.48, 3,507.76 and 2,011.28 is: 3,016.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.48 : 3,507.76 = 2,011.28 : x
  2. Step 2: Convert to fraction form
    2,338.48/3,507.76 = 2,011.28/x
  3. Step 3: Cross multiply
    2,338.48x = 3,507.76 × 2,011.28
  4. Step 4: Simplify right side
    2,338.48x = 7,055,087.53
  5. Step 5: Solve for x
    x = 7,055,087.53/2,338.48
  6. Step 6: Final answer
    x = 3,016.95

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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.