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Finding the Fourth Proportional to 1,815.20, 2,722.80 and 582.62

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Solution

The fourth proportional to 1,815.20, 2,722.80 and 582.62 is: 873.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.20 : 2,722.80 = 582.62 : x
  2. Step 2: Convert to fraction form
    1,815.20/2,722.80 = 582.62/x
  3. Step 3: Cross multiply
    1,815.20x = 2,722.80 × 582.62
  4. Step 4: Simplify right side
    1,815.20x = 1,586,357.74
  5. Step 5: Solve for x
    x = 1,586,357.74/1,815.20
  6. Step 6: Final answer
    x = 873.93

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1.5x scale

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.