Home / 1,523.19-2,284.61-427.65

Finding the Fourth Proportional to 1,523.19, 2,284.61 and 427.65

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Solution

The fourth proportional to 1,523.19, 2,284.61 and 427.65 is: 641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.19 : 2,284.61 = 427.65 : x
  2. Step 2: Convert to fraction form
    1,523.19/2,284.61 = 427.65/x
  3. Step 3: Cross multiply
    1,523.19x = 2,284.61 × 427.65
  4. Step 4: Simplify right side
    1,523.19x = 977,011.33
  5. Step 5: Solve for x
    x = 977,011.33/1,523.19
  6. Step 6: Final answer
    x = 641.42

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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.