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Finding the Fourth Proportional to 2,255.84, 3,384.12 and 1,101.68

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Solution

The fourth proportional to 2,255.84, 3,384.12 and 1,101.68 is: 1,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.84 : 3,384.12 = 1,101.68 : x
  2. Step 2: Convert to fraction form
    2,255.84/3,384.12 = 1,101.68/x
  3. Step 3: Cross multiply
    2,255.84x = 3,384.12 × 1,101.68
  4. Step 4: Simplify right side
    2,255.84x = 3,728,217.32
  5. Step 5: Solve for x
    x = 3,728,217.32/2,255.84
  6. Step 6: Final answer
    x = 1,652.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.