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Finding the Fourth Proportional to 2,863.52, 4,296.56 and 1,015.84

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Solution

The fourth proportional to 2,863.52, 4,296.56 and 1,015.84 is: 1,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.52 : 4,296.56 = 1,015.84 : x
  2. Step 2: Convert to fraction form
    2,863.52/4,296.56 = 1,015.84/x
  3. Step 3: Cross multiply
    2,863.52x = 4,296.56 × 1,015.84
  4. Step 4: Simplify right side
    2,863.52x = 4,364,617.51
  5. Step 5: Solve for x
    x = 4,364,617.51/2,863.52
  6. Step 6: Final answer
    x = 1,524.21

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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.