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Finding the Fourth Proportional to 2,603.61, 3,903.66 and 1,369.71

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Solution

The fourth proportional to 2,603.61, 3,903.66 and 1,369.71 is: 2,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.61 : 3,903.66 = 1,369.71 : x
  2. Step 2: Convert to fraction form
    2,603.61/3,903.66 = 1,369.71/x
  3. Step 3: Cross multiply
    2,603.61x = 3,903.66 × 1,369.71
  4. Step 4: Simplify right side
    2,603.61x = 5,346,882.14
  5. Step 5: Solve for x
    x = 5,346,882.14/2,603.61
  6. Step 6: Final answer
    x = 2,053.64

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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.