Home / 1,516.90-2,270.92-890.30

Finding the Fourth Proportional to 1,516.90, 2,270.92 and 890.30

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Solution

The fourth proportional to 1,516.90, 2,270.92 and 890.30 is: 1,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.90 : 2,270.92 = 890.30 : x
  2. Step 2: Convert to fraction form
    1,516.90/2,270.92 = 890.30/x
  3. Step 3: Cross multiply
    1,516.90x = 2,270.92 × 890.30
  4. Step 4: Simplify right side
    1,516.90x = 2,021,800.08
  5. Step 5: Solve for x
    x = 2,021,800.08/1,516.90
  6. Step 6: Final answer
    x = 1,332.85

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Why These Related Problems?

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