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Finding the Fourth Proportional to 1,543.10, 2,313.36 and 720.95

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Solution

The fourth proportional to 1,543.10, 2,313.36 and 720.95 is: 1,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.10 : 2,313.36 = 720.95 : x
  2. Step 2: Convert to fraction form
    1,543.10/2,313.36 = 720.95/x
  3. Step 3: Cross multiply
    1,543.10x = 2,313.36 × 720.95
  4. Step 4: Simplify right side
    1,543.10x = 1,667,805.33
  5. Step 5: Solve for x
    x = 1,667,805.33/1,543.10
  6. Step 6: Final answer
    x = 1,080.82

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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.