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Finding the Fourth Proportional to 2,865.38, 4,298.06 and 917.63

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Solution

The fourth proportional to 2,865.38, 4,298.06 and 917.63 is: 1,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.38 : 4,298.06 = 917.63 : x
  2. Step 2: Convert to fraction form
    2,865.38/4,298.06 = 917.63/x
  3. Step 3: Cross multiply
    2,865.38x = 4,298.06 × 917.63
  4. Step 4: Simplify right side
    2,865.38x = 3,944,025.72
  5. Step 5: Solve for x
    x = 3,944,025.72/2,865.38
  6. Step 6: Final answer
    x = 1,376.44

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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.