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Finding the Fourth Proportional to 1,796.80, 2,478.48 and 1,166.72

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Solution

The fourth proportional to 1,796.80, 2,478.48 and 1,166.72 is: 1,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.80 : 2,478.48 = 1,166.72 : x
  2. Step 2: Convert to fraction form
    1,796.80/2,478.48 = 1,166.72/x
  3. Step 3: Cross multiply
    1,796.80x = 2,478.48 × 1,166.72
  4. Step 4: Simplify right side
    1,796.80x = 2,891,692.19
  5. Step 5: Solve for x
    x = 2,891,692.19/1,796.80
  6. Step 6: Final answer
    x = 1,609.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.