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Finding the Fourth Proportional to 2,246.52, 3,101.55 and 1,408.47

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Solution

The fourth proportional to 2,246.52, 3,101.55 and 1,408.47 is: 1,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.52 : 3,101.55 = 1,408.47 : x
  2. Step 2: Convert to fraction form
    2,246.52/3,101.55 = 1,408.47/x
  3. Step 3: Cross multiply
    2,246.52x = 3,101.55 × 1,408.47
  4. Step 4: Simplify right side
    2,246.52x = 4,368,440.13
  5. Step 5: Solve for x
    x = 4,368,440.13/2,246.52
  6. Step 6: Final answer
    x = 1,944.54

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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.