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Finding the Fourth Proportional to 1,872.12, 2,806.55 and 717.06

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Solution

The fourth proportional to 1,872.12, 2,806.55 and 717.06 is: 1,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.12 : 2,806.55 = 717.06 : x
  2. Step 2: Convert to fraction form
    1,872.12/2,806.55 = 717.06/x
  3. Step 3: Cross multiply
    1,872.12x = 2,806.55 × 717.06
  4. Step 4: Simplify right side
    1,872.12x = 2,012,464.74
  5. Step 5: Solve for x
    x = 2,012,464.74/1,872.12
  6. Step 6: Final answer
    x = 1,074.97

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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.