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Finding the Fourth Proportional to 2,603.43, 3,924.51 and 2,434.14

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Solution

The fourth proportional to 2,603.43, 3,924.51 and 2,434.14 is: 3,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.43 : 3,924.51 = 2,434.14 : x
  2. Step 2: Convert to fraction form
    2,603.43/3,924.51 = 2,434.14/x
  3. Step 3: Cross multiply
    2,603.43x = 3,924.51 × 2,434.14
  4. Step 4: Simplify right side
    2,603.43x = 9,552,806.77
  5. Step 5: Solve for x
    x = 9,552,806.77/2,603.43
  6. Step 6: Final answer
    x = 3,669.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.