Home / 1,678.23-2,517.35-582.58

Finding the Fourth Proportional to 1,678.23, 2,517.35 and 582.58

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Solution

The fourth proportional to 1,678.23, 2,517.35 and 582.58 is: 873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.23 : 2,517.35 = 582.58 : x
  2. Step 2: Convert to fraction form
    1,678.23/2,517.35 = 582.58/x
  3. Step 3: Cross multiply
    1,678.23x = 2,517.35 × 582.58
  4. Step 4: Simplify right side
    1,678.23x = 1,466,557.76
  5. Step 5: Solve for x
    x = 1,466,557.76/1,678.23
  6. Step 6: Final answer
    x = 873.87

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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.