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Finding the Fourth Proportional to 1,947.34, 2,920.56 and 906.69

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Solution

The fourth proportional to 1,947.34, 2,920.56 and 906.69 is: 1,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.34 : 2,920.56 = 906.69 : x
  2. Step 2: Convert to fraction form
    1,947.34/2,920.56 = 906.69/x
  3. Step 3: Cross multiply
    1,947.34x = 2,920.56 × 906.69
  4. Step 4: Simplify right side
    1,947.34x = 2,648,050.10
  5. Step 5: Solve for x
    x = 2,648,050.10/1,947.34
  6. Step 6: Final answer
    x = 1,359.83

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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.