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Finding the Fourth Proportional to 1,581.75, 2,370.78 and 932.94

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Solution

The fourth proportional to 1,581.75, 2,370.78 and 932.94 is: 1,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.75 : 2,370.78 = 932.94 : x
  2. Step 2: Convert to fraction form
    1,581.75/2,370.78 = 932.94/x
  3. Step 3: Cross multiply
    1,581.75x = 2,370.78 × 932.94
  4. Step 4: Simplify right side
    1,581.75x = 2,211,795.49
  5. Step 5: Solve for x
    x = 2,211,795.49/1,581.75
  6. Step 6: Final answer
    x = 1,398.32

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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.