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Finding the Fourth Proportional to 2,567.81, 3,543.55 and 1,449.11

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Solution

The fourth proportional to 2,567.81, 3,543.55 and 1,449.11 is: 1,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.81 : 3,543.55 = 1,449.11 : x
  2. Step 2: Convert to fraction form
    2,567.81/3,543.55 = 1,449.11/x
  3. Step 3: Cross multiply
    2,567.81x = 3,543.55 × 1,449.11
  4. Step 4: Simplify right side
    2,567.81x = 5,134,972.40
  5. Step 5: Solve for x
    x = 5,134,972.40/2,567.81
  6. Step 6: Final answer
    x = 1,999.75

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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.