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Finding the Fourth Proportional to 2,662.83, 3,674.98 and 1,600.95

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Solution

The fourth proportional to 2,662.83, 3,674.98 and 1,600.95 is: 2,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.83 : 3,674.98 = 1,600.95 : x
  2. Step 2: Convert to fraction form
    2,662.83/3,674.98 = 1,600.95/x
  3. Step 3: Cross multiply
    2,662.83x = 3,674.98 × 1,600.95
  4. Step 4: Simplify right side
    2,662.83x = 5,883,448.51
  5. Step 5: Solve for x
    x = 5,883,448.51/2,662.83
  6. Step 6: Final answer
    x = 2,209.47

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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.