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Finding the Fourth Proportional to 2,604.15, 3,905.05 and 1,616.93

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Solution

The fourth proportional to 2,604.15, 3,905.05 and 1,616.93 is: 2,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.15 : 3,905.05 = 1,616.93 : x
  2. Step 2: Convert to fraction form
    2,604.15/3,905.05 = 1,616.93/x
  3. Step 3: Cross multiply
    2,604.15x = 3,905.05 × 1,616.93
  4. Step 4: Simplify right side
    2,604.15x = 6,314,168.93
  5. Step 5: Solve for x
    x = 6,314,168.93/2,604.15
  6. Step 6: Final answer
    x = 2,424.66

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