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Finding the Fourth Proportional to 2,543.72, 3,505.86 and 2,188.76

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Solution

The fourth proportional to 2,543.72, 3,505.86 and 2,188.76 is: 3,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.72 : 3,505.86 = 2,188.76 : x
  2. Step 2: Convert to fraction form
    2,543.72/3,505.86 = 2,188.76/x
  3. Step 3: Cross multiply
    2,543.72x = 3,505.86 × 2,188.76
  4. Step 4: Simplify right side
    2,543.72x = 7,673,468.60
  5. Step 5: Solve for x
    x = 7,673,468.60/2,543.72
  6. Step 6: Final answer
    x = 3,016.64

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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.