Home / 1,678.24-2,517.65-582.31

Finding the Fourth Proportional to 1,678.24, 2,517.65 and 582.31

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Solution

The fourth proportional to 1,678.24, 2,517.65 and 582.31 is: 873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.24 : 2,517.65 = 582.31 : x
  2. Step 2: Convert to fraction form
    1,678.24/2,517.65 = 582.31/x
  3. Step 3: Cross multiply
    1,678.24x = 2,517.65 × 582.31
  4. Step 4: Simplify right side
    1,678.24x = 1,466,052.77
  5. Step 5: Solve for x
    x = 1,466,052.77/1,678.24
  6. Step 6: Final answer
    x = 873.57

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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.