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Finding the Fourth Proportional to 1,909.98, 2,865.25 and 724.46

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Solution

The fourth proportional to 1,909.98, 2,865.25 and 724.46 is: 1,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.98 : 2,865.25 = 724.46 : x
  2. Step 2: Convert to fraction form
    1,909.98/2,865.25 = 724.46/x
  3. Step 3: Cross multiply
    1,909.98x = 2,865.25 × 724.46
  4. Step 4: Simplify right side
    1,909.98x = 2,075,748.23
  5. Step 5: Solve for x
    x = 2,075,748.23/1,909.98
  6. Step 6: Final answer
    x = 1,086.79

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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.