Home / 1,642.23-2,462.40-587.52

Finding the Fourth Proportional to 1,642.23, 2,462.40 and 587.52

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Solution

The fourth proportional to 1,642.23, 2,462.40 and 587.52 is: 880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.23 : 2,462.40 = 587.52 : x
  2. Step 2: Convert to fraction form
    1,642.23/2,462.40 = 587.52/x
  3. Step 3: Cross multiply
    1,642.23x = 2,462.40 × 587.52
  4. Step 4: Simplify right side
    1,642.23x = 1,446,709.25
  5. Step 5: Solve for x
    x = 1,446,709.25/1,642.23
  6. Step 6: Final answer
    x = 880.94

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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.