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Finding the Fourth Proportional to 2,223.43, 3,332.16 and 1,730.43

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Solution

The fourth proportional to 2,223.43, 3,332.16 and 1,730.43 is: 2,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.43 : 3,332.16 = 1,730.43 : x
  2. Step 2: Convert to fraction form
    2,223.43/3,332.16 = 1,730.43/x
  3. Step 3: Cross multiply
    2,223.43x = 3,332.16 × 1,730.43
  4. Step 4: Simplify right side
    2,223.43x = 5,766,069.63
  5. Step 5: Solve for x
    x = 5,766,069.63/2,223.43
  6. Step 6: Final answer
    x = 2,593.32

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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.