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Finding the Fourth Proportional to 2,822.54, 4,229.90 and 1,065.74

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Solution

The fourth proportional to 2,822.54, 4,229.90 and 1,065.74 is: 1,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.54 : 4,229.90 = 1,065.74 : x
  2. Step 2: Convert to fraction form
    2,822.54/4,229.90 = 1,065.74/x
  3. Step 3: Cross multiply
    2,822.54x = 4,229.90 × 1,065.74
  4. Step 4: Simplify right side
    2,822.54x = 4,507,968.30
  5. Step 5: Solve for x
    x = 4,507,968.30/2,822.54
  6. Step 6: Final answer
    x = 1,597.13

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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.