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Finding the Fourth Proportional to 2,338.39, 3,506.28 and 777.97

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Solution

The fourth proportional to 2,338.39, 3,506.28 and 777.97 is: 1,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.39 : 3,506.28 = 777.97 : x
  2. Step 2: Convert to fraction form
    2,338.39/3,506.28 = 777.97/x
  3. Step 3: Cross multiply
    2,338.39x = 3,506.28 × 777.97
  4. Step 4: Simplify right side
    2,338.39x = 2,727,780.65
  5. Step 5: Solve for x
    x = 2,727,780.65/2,338.39
  6. Step 6: Final answer
    x = 1,166.52

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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.