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Finding the Fourth Proportional to 1,776.46, 2,664.70 and 996.34

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Solution

The fourth proportional to 1,776.46, 2,664.70 and 996.34 is: 1,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.46 : 2,664.70 = 996.34 : x
  2. Step 2: Convert to fraction form
    1,776.46/2,664.70 = 996.34/x
  3. Step 3: Cross multiply
    1,776.46x = 2,664.70 × 996.34
  4. Step 4: Simplify right side
    1,776.46x = 2,654,947.20
  5. Step 5: Solve for x
    x = 2,654,947.20/1,776.46
  6. Step 6: Final answer
    x = 1,494.52

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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.