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Finding the Fourth Proportional to 2,603.54, 3,591.54 and 1,763.96

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Solution

The fourth proportional to 2,603.54, 3,591.54 and 1,763.96 is: 2,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.54 : 3,591.54 = 1,763.96 : x
  2. Step 2: Convert to fraction form
    2,603.54/3,591.54 = 1,763.96/x
  3. Step 3: Cross multiply
    2,603.54x = 3,591.54 × 1,763.96
  4. Step 4: Simplify right side
    2,603.54x = 6,335,314.94
  5. Step 5: Solve for x
    x = 6,335,314.94/2,603.54
  6. Step 6: Final answer
    x = 2,433.35

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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.