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Finding the Fourth Proportional to 3,015.84, 4,523.52 and 824.64

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Solution

The fourth proportional to 3,015.84, 4,523.52 and 824.64 is: 1,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.84 : 4,523.52 = 824.64 : x
  2. Step 2: Convert to fraction form
    3,015.84/4,523.52 = 824.64/x
  3. Step 3: Cross multiply
    3,015.84x = 4,523.52 × 824.64
  4. Step 4: Simplify right side
    3,015.84x = 3,730,275.53
  5. Step 5: Solve for x
    x = 3,730,275.53/3,015.84
  6. Step 6: Final answer
    x = 1,236.89

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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.