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Finding the Fourth Proportional to 1,678.52, 2,517.98 and 582.59

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Solution

The fourth proportional to 1,678.52, 2,517.98 and 582.59 is: 873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.52 : 2,517.98 = 582.59 : x
  2. Step 2: Convert to fraction form
    1,678.52/2,517.98 = 582.59/x
  3. Step 3: Cross multiply
    1,678.52x = 2,517.98 × 582.59
  4. Step 4: Simplify right side
    1,678.52x = 1,466,934.47
  5. Step 5: Solve for x
    x = 1,466,934.47/1,678.52
  6. Step 6: Final answer
    x = 873.95

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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.