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Finding the Fourth Proportional to 2,887.50, 4,331.78 and 913.63

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Solution

The fourth proportional to 2,887.50, 4,331.78 and 913.63 is: 1,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.50 : 4,331.78 = 913.63 : x
  2. Step 2: Convert to fraction form
    2,887.50/4,331.78 = 913.63/x
  3. Step 3: Cross multiply
    2,887.50x = 4,331.78 × 913.63
  4. Step 4: Simplify right side
    2,887.50x = 3,957,628.24
  5. Step 5: Solve for x
    x = 3,957,628.24/2,887.50
  6. Step 6: Final answer
    x = 1,370.61

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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.