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Finding the Fourth Proportional to 2,425.86, 3,633.53 and 1,501.65

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Solution

The fourth proportional to 2,425.86, 3,633.53 and 1,501.65 is: 2,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.86 : 3,633.53 = 1,501.65 : x
  2. Step 2: Convert to fraction form
    2,425.86/3,633.53 = 1,501.65/x
  3. Step 3: Cross multiply
    2,425.86x = 3,633.53 × 1,501.65
  4. Step 4: Simplify right side
    2,425.86x = 5,456,282.82
  5. Step 5: Solve for x
    x = 5,456,282.82/2,425.86
  6. Step 6: Final answer
    x = 2,249.22

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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.