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Finding the Fourth Proportional to 1,730.34, 2,592.16 and 1,143.56

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Solution

The fourth proportional to 1,730.34, 2,592.16 and 1,143.56 is: 1,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.34 : 2,592.16 = 1,143.56 : x
  2. Step 2: Convert to fraction form
    1,730.34/2,592.16 = 1,143.56/x
  3. Step 3: Cross multiply
    1,730.34x = 2,592.16 × 1,143.56
  4. Step 4: Simplify right side
    1,730.34x = 2,964,290.49
  5. Step 5: Solve for x
    x = 2,964,290.49/1,730.34
  6. Step 6: Final answer
    x = 1,713.13

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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.