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Finding the Fourth Proportional to 2,947.69, 4,066.12 and 1,768.08

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Solution

The fourth proportional to 2,947.69, 4,066.12 and 1,768.08 is: 2,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.69 : 4,066.12 = 1,768.08 : x
  2. Step 2: Convert to fraction form
    2,947.69/4,066.12 = 1,768.08/x
  3. Step 3: Cross multiply
    2,947.69x = 4,066.12 × 1,768.08
  4. Step 4: Simplify right side
    2,947.69x = 7,189,196.28
  5. Step 5: Solve for x
    x = 7,189,196.28/2,947.69
  6. Step 6: Final answer
    x = 2,438.93

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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.