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Finding the Fourth Proportional to 2,543.95, 3,812.72 and 1,448.93

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Solution

The fourth proportional to 2,543.95, 3,812.72 and 1,448.93 is: 2,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.95 : 3,812.72 = 1,448.93 : x
  2. Step 2: Convert to fraction form
    2,543.95/3,812.72 = 1,448.93/x
  3. Step 3: Cross multiply
    2,543.95x = 3,812.72 × 1,448.93
  4. Step 4: Simplify right side
    2,543.95x = 5,524,345.33
  5. Step 5: Solve for x
    x = 5,524,345.33/2,543.95
  6. Step 6: Final answer
    x = 2,171.57

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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.