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Finding the Fourth Proportional to 1,782.80, 2,674.66 and 742.46

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Solution

The fourth proportional to 1,782.80, 2,674.66 and 742.46 is: 1,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.80 : 2,674.66 = 742.46 : x
  2. Step 2: Convert to fraction form
    1,782.80/2,674.66 = 742.46/x
  3. Step 3: Cross multiply
    1,782.80x = 2,674.66 × 742.46
  4. Step 4: Simplify right side
    1,782.80x = 1,985,825.65
  5. Step 5: Solve for x
    x = 1,985,825.65/1,782.80
  6. Step 6: Final answer
    x = 1,113.88

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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.