Home / 1,516.16-2,274.23-420.52

Finding the Fourth Proportional to 1,516.16, 2,274.23 and 420.52

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Solution

The fourth proportional to 1,516.16, 2,274.23 and 420.52 is: 630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.16 : 2,274.23 = 420.52 : x
  2. Step 2: Convert to fraction form
    1,516.16/2,274.23 = 420.52/x
  3. Step 3: Cross multiply
    1,516.16x = 2,274.23 × 420.52
  4. Step 4: Simplify right side
    1,516.16x = 956,359.20
  5. Step 5: Solve for x
    x = 956,359.20/1,516.16
  6. Step 6: Final answer
    x = 630.78

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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.