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Finding the Fourth Proportional to 2,603.50, 3,904.14 and 1,508.62

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Solution

The fourth proportional to 2,603.50, 3,904.14 and 1,508.62 is: 2,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.50 : 3,904.14 = 1,508.62 : x
  2. Step 2: Convert to fraction form
    2,603.50/3,904.14 = 1,508.62/x
  3. Step 3: Cross multiply
    2,603.50x = 3,904.14 × 1,508.62
  4. Step 4: Simplify right side
    2,603.50x = 5,889,863.69
  5. Step 5: Solve for x
    x = 5,889,863.69/2,603.50
  6. Step 6: Final answer
    x = 2,262.29

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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.