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Finding the Fourth Proportional to 2,543.23, 3,814.30 and 982.72

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Solution

The fourth proportional to 2,543.23, 3,814.30 and 982.72 is: 1,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.23 : 3,814.30 = 982.72 : x
  2. Step 2: Convert to fraction form
    2,543.23/3,814.30 = 982.72/x
  3. Step 3: Cross multiply
    2,543.23x = 3,814.30 × 982.72
  4. Step 4: Simplify right side
    2,543.23x = 3,748,394.89
  5. Step 5: Solve for x
    x = 3,748,394.89/2,543.23
  6. Step 6: Final answer
    x = 1,473.87

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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.