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Finding the Fourth Proportional to 1,815.14, 2,723.07 and 582.68

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Solution

The fourth proportional to 1,815.14, 2,723.07 and 582.68 is: 874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.14 : 2,723.07 = 582.68 : x
  2. Step 2: Convert to fraction form
    1,815.14/2,723.07 = 582.68/x
  3. Step 3: Cross multiply
    1,815.14x = 2,723.07 × 582.68
  4. Step 4: Simplify right side
    1,815.14x = 1,586,678.43
  5. Step 5: Solve for x
    x = 1,586,678.43/1,815.14
  6. Step 6: Final answer
    x = 874.14

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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.