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Finding the Fourth Proportional to 3,297.84, 4,549.68 and 2,248.08

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Solution

The fourth proportional to 3,297.84, 4,549.68 and 2,248.08 is: 3,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.84 : 4,549.68 = 2,248.08 : x
  2. Step 2: Convert to fraction form
    3,297.84/4,549.68 = 2,248.08/x
  3. Step 3: Cross multiply
    3,297.84x = 4,549.68 × 2,248.08
  4. Step 4: Simplify right side
    3,297.84x = 10,228,044.61
  5. Step 5: Solve for x
    x = 10,228,044.61/3,297.84
  6. Step 6: Final answer
    x = 3,101.44

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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.