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Finding the Fourth Proportional to 2,601, 3,901.66 and 1,503.08

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Solution

The fourth proportional to 2,601, 3,901.66 and 1,503.08 is: 2,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601 : 3,901.66 = 1,503.08 : x
  2. Step 2: Convert to fraction form
    2,601/3,901.66 = 1,503.08/x
  3. Step 3: Cross multiply
    2,601x = 3,901.66 × 1,503.08
  4. Step 4: Simplify right side
    2,601x = 5,864,507.11
  5. Step 5: Solve for x
    x = 5,864,507.11/2,601
  6. Step 6: Final answer
    x = 2,254.71

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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.