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Finding the Fourth Proportional to 2,567.67, 3,543.20 and 1,448.72

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Solution

The fourth proportional to 2,567.67, 3,543.20 and 1,448.72 is: 1,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.67 : 3,543.20 = 1,448.72 : x
  2. Step 2: Convert to fraction form
    2,567.67/3,543.20 = 1,448.72/x
  3. Step 3: Cross multiply
    2,567.67x = 3,543.20 × 1,448.72
  4. Step 4: Simplify right side
    2,567.67x = 5,133,087.42
  5. Step 5: Solve for x
    x = 5,133,087.42/2,567.67
  6. Step 6: Final answer
    x = 1,999.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.