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Finding the Fourth Proportional to 2,225.59, 3,069.08 and 1,728.04

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Solution

The fourth proportional to 2,225.59, 3,069.08 and 1,728.04 is: 2,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.59 : 3,069.08 = 1,728.04 : x
  2. Step 2: Convert to fraction form
    2,225.59/3,069.08 = 1,728.04/x
  3. Step 3: Cross multiply
    2,225.59x = 3,069.08 × 1,728.04
  4. Step 4: Simplify right side
    2,225.59x = 5,303,493.00
  5. Step 5: Solve for x
    x = 5,303,493.00/2,225.59
  6. Step 6: Final answer
    x = 2,382.96

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Why These Related Problems?

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