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Finding the Fourth Proportional to 2,662.58, 3,674.18 and 1,600.52

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Solution

The fourth proportional to 2,662.58, 3,674.18 and 1,600.52 is: 2,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.58 : 3,674.18 = 1,600.52 : x
  2. Step 2: Convert to fraction form
    2,662.58/3,674.18 = 1,600.52/x
  3. Step 3: Cross multiply
    2,662.58x = 3,674.18 × 1,600.52
  4. Step 4: Simplify right side
    2,662.58x = 5,880,572.20
  5. Step 5: Solve for x
    x = 5,880,572.20/2,662.58
  6. Step 6: Final answer
    x = 2,208.60

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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.