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Finding the Fourth Proportional to 2,917.50, 4,376.97 and 865.50

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Solution

The fourth proportional to 2,917.50, 4,376.97 and 865.50 is: 1,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.50 : 4,376.97 = 865.50 : x
  2. Step 2: Convert to fraction form
    2,917.50/4,376.97 = 865.50/x
  3. Step 3: Cross multiply
    2,917.50x = 4,376.97 × 865.50
  4. Step 4: Simplify right side
    2,917.50x = 3,788,267.54
  5. Step 5: Solve for x
    x = 3,788,267.54/2,917.50
  6. Step 6: Final answer
    x = 1,298.46

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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.