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Finding the Fourth Proportional to 2,229.68, 3,339.66 and 1,073

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Solution

The fourth proportional to 2,229.68, 3,339.66 and 1,073 is: 1,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.68 : 3,339.66 = 1,073 : x
  2. Step 2: Convert to fraction form
    2,229.68/3,339.66 = 1,073/x
  3. Step 3: Cross multiply
    2,229.68x = 3,339.66 × 1,073
  4. Step 4: Simplify right side
    2,229.68x = 3,583,455.18
  5. Step 5: Solve for x
    x = 3,583,455.18/2,229.68
  6. Step 6: Final answer
    x = 1,607.16

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Why These Related Problems?

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