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Finding the Fourth Proportional to 2,607.87, 3,600.02 and 1,664.91

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Solution

The fourth proportional to 2,607.87, 3,600.02 and 1,664.91 is: 2,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.87 : 3,600.02 = 1,664.91 : x
  2. Step 2: Convert to fraction form
    2,607.87/3,600.02 = 1,664.91/x
  3. Step 3: Cross multiply
    2,607.87x = 3,600.02 × 1,664.91
  4. Step 4: Simplify right side
    2,607.87x = 5,993,700.97
  5. Step 5: Solve for x
    x = 5,993,700.97/2,607.87
  6. Step 6: Final answer
    x = 2,298.31

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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.