Home / 1,514.05-2,270.77-964.60

Finding the Fourth Proportional to 1,514.05, 2,270.77 and 964.60

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Solution

The fourth proportional to 1,514.05, 2,270.77 and 964.60 is: 1,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.05 : 2,270.77 = 964.60 : x
  2. Step 2: Convert to fraction form
    1,514.05/2,270.77 = 964.60/x
  3. Step 3: Cross multiply
    1,514.05x = 2,270.77 × 964.60
  4. Step 4: Simplify right side
    1,514.05x = 2,190,376.65
  5. Step 5: Solve for x
    x = 2,190,376.65/1,514.05
  6. Step 6: Final answer
    x = 1,446.70

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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.