Home / 2,007.24-3,011.08-838.02

Finding the Fourth Proportional to 2,007.24, 3,011.08 and 838.02

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Solution

The fourth proportional to 2,007.24, 3,011.08 and 838.02 is: 1,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.24 : 3,011.08 = 838.02 : x
  2. Step 2: Convert to fraction form
    2,007.24/3,011.08 = 838.02/x
  3. Step 3: Cross multiply
    2,007.24x = 3,011.08 × 838.02
  4. Step 4: Simplify right side
    2,007.24x = 2,523,345.26
  5. Step 5: Solve for x
    x = 2,523,345.26/2,007.24
  6. Step 6: Final answer
    x = 1,257.12

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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.