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Finding the Fourth Proportional to 2,603.15, 3,592.60 and 1,424.40

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Solution

The fourth proportional to 2,603.15, 3,592.60 and 1,424.40 is: 1,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.15 : 3,592.60 = 1,424.40 : x
  2. Step 2: Convert to fraction form
    2,603.15/3,592.60 = 1,424.40/x
  3. Step 3: Cross multiply
    2,603.15x = 3,592.60 × 1,424.40
  4. Step 4: Simplify right side
    2,603.15x = 5,117,299.44
  5. Step 5: Solve for x
    x = 5,117,299.44/2,603.15
  6. Step 6: Final answer
    x = 1,965.81

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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.