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Finding the Fourth Proportional to 2,424.96, 3,343.44 and 2,070.24

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Solution

The fourth proportional to 2,424.96, 3,343.44 and 2,070.24 is: 2,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.96 : 3,343.44 = 2,070.24 : x
  2. Step 2: Convert to fraction form
    2,424.96/3,343.44 = 2,070.24/x
  3. Step 3: Cross multiply
    2,424.96x = 3,343.44 × 2,070.24
  4. Step 4: Simplify right side
    2,424.96x = 6,921,723.23
  5. Step 5: Solve for x
    x = 6,921,723.23/2,424.96
  6. Step 6: Final answer
    x = 2,854.37

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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.