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Finding the Fourth Proportional to 2,772.64, 4,159.86 and 824.86

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Solution

The fourth proportional to 2,772.64, 4,159.86 and 824.86 is: 1,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.64 : 4,159.86 = 824.86 : x
  2. Step 2: Convert to fraction form
    2,772.64/4,159.86 = 824.86/x
  3. Step 3: Cross multiply
    2,772.64x = 4,159.86 × 824.86
  4. Step 4: Simplify right side
    2,772.64x = 3,431,302.12
  5. Step 5: Solve for x
    x = 3,431,302.12/2,772.64
  6. Step 6: Final answer
    x = 1,237.56

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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.