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Finding the Fourth Proportional to 2,945, 4,417.50 and 1,093.97

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Solution

The fourth proportional to 2,945, 4,417.50 and 1,093.97 is: 1,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945 : 4,417.50 = 1,093.97 : x
  2. Step 2: Convert to fraction form
    2,945/4,417.50 = 1,093.97/x
  3. Step 3: Cross multiply
    2,945x = 4,417.50 × 1,093.97
  4. Step 4: Simplify right side
    2,945x = 4,832,612.48
  5. Step 5: Solve for x
    x = 4,832,612.48/2,945
  6. Step 6: Final answer
    x = 1,640.96

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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.