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Finding the Fourth Proportional to 4,441, 6,661.65 and 1,667.38

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Solution

The fourth proportional to 4,441, 6,661.65 and 1,667.38 is: 2,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441 : 6,661.65 = 1,667.38 : x
  2. Step 2: Convert to fraction form
    4,441/6,661.65 = 1,667.38/x
  3. Step 3: Cross multiply
    4,441x = 6,661.65 × 1,667.38
  4. Step 4: Simplify right side
    4,441x = 11,107,501.98
  5. Step 5: Solve for x
    x = 11,107,501.98/4,441
  6. Step 6: Final answer
    x = 2,501.13

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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.