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Finding the Fourth Proportional to 2,500.98, 3,447.14 and 2,144.23

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Solution

The fourth proportional to 2,500.98, 3,447.14 and 2,144.23 is: 2,955.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.98 : 3,447.14 = 2,144.23 : x
  2. Step 2: Convert to fraction form
    2,500.98/3,447.14 = 2,144.23/x
  3. Step 3: Cross multiply
    2,500.98x = 3,447.14 × 2,144.23
  4. Step 4: Simplify right side
    2,500.98x = 7,391,457.74
  5. Step 5: Solve for x
    x = 7,391,457.74/2,500.98
  6. Step 6: Final answer
    x = 2,955.42

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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.