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Finding the Fourth Proportional to 2,305.95, 3,456.33 and 918.92

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Solution

The fourth proportional to 2,305.95, 3,456.33 and 918.92 is: 1,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.95 : 3,456.33 = 918.92 : x
  2. Step 2: Convert to fraction form
    2,305.95/3,456.33 = 918.92/x
  3. Step 3: Cross multiply
    2,305.95x = 3,456.33 × 918.92
  4. Step 4: Simplify right side
    2,305.95x = 3,176,073.48
  5. Step 5: Solve for x
    x = 3,176,073.48/2,305.95
  6. Step 6: Final answer
    x = 1,377.34

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1.5x scale

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.