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Finding the Fourth Proportional to 3,132.84, 4,699.17 and 824.34

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Solution

The fourth proportional to 3,132.84, 4,699.17 and 824.34 is: 1,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.84 : 4,699.17 = 824.34 : x
  2. Step 2: Convert to fraction form
    3,132.84/4,699.17 = 824.34/x
  3. Step 3: Cross multiply
    3,132.84x = 4,699.17 × 824.34
  4. Step 4: Simplify right side
    3,132.84x = 3,873,713.80
  5. Step 5: Solve for x
    x = 3,873,713.80/3,132.84
  6. Step 6: Final answer
    x = 1,236.49

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1.5x scale

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.