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Finding the Fourth Proportional to 2,603.17, 3,592.41 and 1,424.26

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Solution

The fourth proportional to 2,603.17, 3,592.41 and 1,424.26 is: 1,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.17 : 3,592.41 = 1,424.26 : x
  2. Step 2: Convert to fraction form
    2,603.17/3,592.41 = 1,424.26/x
  3. Step 3: Cross multiply
    2,603.17x = 3,592.41 × 1,424.26
  4. Step 4: Simplify right side
    2,603.17x = 5,116,525.87
  5. Step 5: Solve for x
    x = 5,116,525.87/2,603.17
  6. Step 6: Final answer
    x = 1,965.50

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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.