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Finding the Fourth Proportional to 2,616.37, 3,606.73 and 1,730.63

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Solution

The fourth proportional to 2,616.37, 3,606.73 and 1,730.63 is: 2,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.37 : 3,606.73 = 1,730.63 : x
  2. Step 2: Convert to fraction form
    2,616.37/3,606.73 = 1,730.63/x
  3. Step 3: Cross multiply
    2,616.37x = 3,606.73 × 1,730.63
  4. Step 4: Simplify right side
    2,616.37x = 6,241,919.83
  5. Step 5: Solve for x
    x = 6,241,919.83/2,616.37
  6. Step 6: Final answer
    x = 2,385.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.