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Finding the Fourth Proportional to 2,543.67, 3,508.45 and 2,071.58

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Solution

The fourth proportional to 2,543.67, 3,508.45 and 2,071.58 is: 2,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.67 : 3,508.45 = 2,071.58 : x
  2. Step 2: Convert to fraction form
    2,543.67/3,508.45 = 2,071.58/x
  3. Step 3: Cross multiply
    2,543.67x = 3,508.45 × 2,071.58
  4. Step 4: Simplify right side
    2,543.67x = 7,268,012.13
  5. Step 5: Solve for x
    x = 7,268,012.13/2,543.67
  6. Step 6: Final answer
    x = 2,857.29

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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.