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Finding the Fourth Proportional to 1,903.24, 2,854.86 and 863.59

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Solution

The fourth proportional to 1,903.24, 2,854.86 and 863.59 is: 1,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.24 : 2,854.86 = 863.59 : x
  2. Step 2: Convert to fraction form
    1,903.24/2,854.86 = 863.59/x
  3. Step 3: Cross multiply
    1,903.24x = 2,854.86 × 863.59
  4. Step 4: Simplify right side
    1,903.24x = 2,465,428.55
  5. Step 5: Solve for x
    x = 2,465,428.55/1,903.24
  6. Step 6: Final answer
    x = 1,295.39

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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.