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Finding the Fourth Proportional to 2,603.08, 3,592.22 and 1,424.16

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Solution

The fourth proportional to 2,603.08, 3,592.22 and 1,424.16 is: 1,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.08 : 3,592.22 = 1,424.16 : x
  2. Step 2: Convert to fraction form
    2,603.08/3,592.22 = 1,424.16/x
  3. Step 3: Cross multiply
    2,603.08x = 3,592.22 × 1,424.16
  4. Step 4: Simplify right side
    2,603.08x = 5,115,896.04
  5. Step 5: Solve for x
    x = 5,115,896.04/2,603.08
  6. Step 6: Final answer
    x = 1,965.32

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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.