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Finding the Fourth Proportional to 2,185.76, 3,278.72 and 724.93

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Solution

The fourth proportional to 2,185.76, 3,278.72 and 724.93 is: 1,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.76 : 3,278.72 = 724.93 : x
  2. Step 2: Convert to fraction form
    2,185.76/3,278.72 = 724.93/x
  3. Step 3: Cross multiply
    2,185.76x = 3,278.72 × 724.93
  4. Step 4: Simplify right side
    2,185.76x = 2,376,836.11
  5. Step 5: Solve for x
    x = 2,376,836.11/2,185.76
  6. Step 6: Final answer
    x = 1,087.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.