Home / 1,516.40-2,274.60-966.95

Finding the Fourth Proportional to 1,516.40, 2,274.60 and 966.95

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Solution

The fourth proportional to 1,516.40, 2,274.60 and 966.95 is: 1,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.40 : 2,274.60 = 966.95 : x
  2. Step 2: Convert to fraction form
    1,516.40/2,274.60 = 966.95/x
  3. Step 3: Cross multiply
    1,516.40x = 2,274.60 × 966.95
  4. Step 4: Simplify right side
    1,516.40x = 2,199,424.47
  5. Step 5: Solve for x
    x = 2,199,424.47/1,516.40
  6. Step 6: Final answer
    x = 1,450.43

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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.