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Finding the Fourth Proportional to 2,603.49, 3,592.62 and 1,424.52

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Solution

The fourth proportional to 2,603.49, 3,592.62 and 1,424.52 is: 1,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.49 : 3,592.62 = 1,424.52 : x
  2. Step 2: Convert to fraction form
    2,603.49/3,592.62 = 1,424.52/x
  3. Step 3: Cross multiply
    2,603.49x = 3,592.62 × 1,424.52
  4. Step 4: Simplify right side
    2,603.49x = 5,117,759.04
  5. Step 5: Solve for x
    x = 5,117,759.04/2,603.49
  6. Step 6: Final answer
    x = 1,965.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.