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Finding the Fourth Proportional to 1,543.11, 2,313.69 and 721.65

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Solution

The fourth proportional to 1,543.11, 2,313.69 and 721.65 is: 1,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.11 : 2,313.69 = 721.65 : x
  2. Step 2: Convert to fraction form
    1,543.11/2,313.69 = 721.65/x
  3. Step 3: Cross multiply
    1,543.11x = 2,313.69 × 721.65
  4. Step 4: Simplify right side
    1,543.11x = 1,669,674.39
  5. Step 5: Solve for x
    x = 1,669,674.39/1,543.11
  6. Step 6: Final answer
    x = 1,082.02

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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.