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Finding the Fourth Proportional to 1,815.01, 2,721.57 and 582.10

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Solution

The fourth proportional to 1,815.01, 2,721.57 and 582.10 is: 872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.01 : 2,721.57 = 582.10 : x
  2. Step 2: Convert to fraction form
    1,815.01/2,721.57 = 582.10/x
  3. Step 3: Cross multiply
    1,815.01x = 2,721.57 × 582.10
  4. Step 4: Simplify right side
    1,815.01x = 1,584,225.90
  5. Step 5: Solve for x
    x = 1,584,225.90/1,815.01
  6. Step 6: Final answer
    x = 872.85

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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.