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Finding the Fourth Proportional to 2,225.77, 3,338.61 and 665.74

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Solution

The fourth proportional to 2,225.77, 3,338.61 and 665.74 is: 998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.77 : 3,338.61 = 665.74 : x
  2. Step 2: Convert to fraction form
    2,225.77/3,338.61 = 665.74/x
  3. Step 3: Cross multiply
    2,225.77x = 3,338.61 × 665.74
  4. Step 4: Simplify right side
    2,225.77x = 2,222,646.22
  5. Step 5: Solve for x
    x = 2,222,646.22/2,225.77
  6. Step 6: Final answer
    x = 998.60

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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.