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Finding the Fourth Proportional to 2,710.84, 4,046.60 and 2,382.79

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Solution

The fourth proportional to 2,710.84, 4,046.60 and 2,382.79 is: 3,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.84 : 4,046.60 = 2,382.79 : x
  2. Step 2: Convert to fraction form
    2,710.84/4,046.60 = 2,382.79/x
  3. Step 3: Cross multiply
    2,710.84x = 4,046.60 × 2,382.79
  4. Step 4: Simplify right side
    2,710.84x = 9,642,198.01
  5. Step 5: Solve for x
    x = 9,642,198.01/2,710.84
  6. Step 6: Final answer
    x = 3,556.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.