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Finding the Fourth Proportional to 2,666.53, 3,680.99 and 1,722.78

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Solution

The fourth proportional to 2,666.53, 3,680.99 and 1,722.78 is: 2,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.53 : 3,680.99 = 1,722.78 : x
  2. Step 2: Convert to fraction form
    2,666.53/3,680.99 = 1,722.78/x
  3. Step 3: Cross multiply
    2,666.53x = 3,680.99 × 1,722.78
  4. Step 4: Simplify right side
    2,666.53x = 6,341,531.65
  5. Step 5: Solve for x
    x = 6,341,531.65/2,666.53
  6. Step 6: Final answer
    x = 2,378.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.