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Finding the Fourth Proportional to 2,822.18, 4,233.29 and 742.05

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Solution

The fourth proportional to 2,822.18, 4,233.29 and 742.05 is: 1,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.18 : 4,233.29 = 742.05 : x
  2. Step 2: Convert to fraction form
    2,822.18/4,233.29 = 742.05/x
  3. Step 3: Cross multiply
    2,822.18x = 4,233.29 × 742.05
  4. Step 4: Simplify right side
    2,822.18x = 3,141,309.13
  5. Step 5: Solve for x
    x = 3,141,309.13/2,822.18
  6. Step 6: Final answer
    x = 1,113.08

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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.