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Finding the Fourth Proportional to 1,543.81, 2,314.90 and 1,158.25

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Solution

The fourth proportional to 1,543.81, 2,314.90 and 1,158.25 is: 1,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.81 : 2,314.90 = 1,158.25 : x
  2. Step 2: Convert to fraction form
    1,543.81/2,314.90 = 1,158.25/x
  3. Step 3: Cross multiply
    1,543.81x = 2,314.90 × 1,158.25
  4. Step 4: Simplify right side
    1,543.81x = 2,681,232.93
  5. Step 5: Solve for x
    x = 2,681,232.93/1,543.81
  6. Step 6: Final answer
    x = 1,736.76

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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.