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Finding the Fourth Proportional to 1,947.15, 2,922.56 and 907.87

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Solution

The fourth proportional to 1,947.15, 2,922.56 and 907.87 is: 1,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.15 : 2,922.56 = 907.87 : x
  2. Step 2: Convert to fraction form
    1,947.15/2,922.56 = 907.87/x
  3. Step 3: Cross multiply
    1,947.15x = 2,922.56 × 907.87
  4. Step 4: Simplify right side
    1,947.15x = 2,653,304.55
  5. Step 5: Solve for x
    x = 2,653,304.55/1,947.15
  6. Step 6: Final answer
    x = 1,362.66

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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.