Home / 1,596.03-2,202.48-966.92

Finding the Fourth Proportional to 1,596.03, 2,202.48 and 966.92

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Solution

The fourth proportional to 1,596.03, 2,202.48 and 966.92 is: 1,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.03 : 2,202.48 = 966.92 : x
  2. Step 2: Convert to fraction form
    1,596.03/2,202.48 = 966.92/x
  3. Step 3: Cross multiply
    1,596.03x = 2,202.48 × 966.92
  4. Step 4: Simplify right side
    1,596.03x = 2,129,610.95
  5. Step 5: Solve for x
    x = 2,129,610.95/1,596.03
  6. Step 6: Final answer
    x = 1,334.32

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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.