Home / 1,429.15-2,142.26-966.98

Finding the Fourth Proportional to 1,429.15, 2,142.26 and 966.98

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Solution

The fourth proportional to 1,429.15, 2,142.26 and 966.98 is: 1,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.15 : 2,142.26 = 966.98 : x
  2. Step 2: Convert to fraction form
    1,429.15/2,142.26 = 966.98/x
  3. Step 3: Cross multiply
    1,429.15x = 2,142.26 × 966.98
  4. Step 4: Simplify right side
    1,429.15x = 2,071,523.12
  5. Step 5: Solve for x
    x = 2,071,523.12/1,429.15
  6. Step 6: Final answer
    x = 1,449.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.