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Finding the Fourth Proportional to 2,536.65, 3,807.81 and 2,022.84

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Solution

The fourth proportional to 2,536.65, 3,807.81 and 2,022.84 is: 3,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.65 : 3,807.81 = 2,022.84 : x
  2. Step 2: Convert to fraction form
    2,536.65/3,807.81 = 2,022.84/x
  3. Step 3: Cross multiply
    2,536.65x = 3,807.81 × 2,022.84
  4. Step 4: Simplify right side
    2,536.65x = 7,702,590.38
  5. Step 5: Solve for x
    x = 7,702,590.38/2,536.65
  6. Step 6: Final answer
    x = 3,036.52

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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.