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Finding the Fourth Proportional to 2,405.35, 3,603.77 and 1,671.49

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Solution

The fourth proportional to 2,405.35, 3,603.77 and 1,671.49 is: 2,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.35 : 3,603.77 = 1,671.49 : x
  2. Step 2: Convert to fraction form
    2,405.35/3,603.77 = 1,671.49/x
  3. Step 3: Cross multiply
    2,405.35x = 3,603.77 × 1,671.49
  4. Step 4: Simplify right side
    2,405.35x = 6,023,665.52
  5. Step 5: Solve for x
    x = 6,023,665.52/2,405.35
  6. Step 6: Final answer
    x = 2,504.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.