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Finding the Fourth Proportional to 2,648.60, 3,646.76 and 2,249.44

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Solution

The fourth proportional to 2,648.60, 3,646.76 and 2,249.44 is: 3,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.60 : 3,646.76 = 2,249.44 : x
  2. Step 2: Convert to fraction form
    2,648.60/3,646.76 = 2,249.44/x
  3. Step 3: Cross multiply
    2,648.60x = 3,646.76 × 2,249.44
  4. Step 4: Simplify right side
    2,648.60x = 8,203,167.81
  5. Step 5: Solve for x
    x = 8,203,167.81/2,648.60
  6. Step 6: Final answer
    x = 3,097.17

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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.