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Finding the Fourth Proportional to 2,382.65, 3,574.22 and 822.45

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Solution

The fourth proportional to 2,382.65, 3,574.22 and 822.45 is: 1,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.65 : 3,574.22 = 822.45 : x
  2. Step 2: Convert to fraction form
    2,382.65/3,574.22 = 822.45/x
  3. Step 3: Cross multiply
    2,382.65x = 3,574.22 × 822.45
  4. Step 4: Simplify right side
    2,382.65x = 2,939,613.13
  5. Step 5: Solve for x
    x = 2,939,613.13/2,382.65
  6. Step 6: Final answer
    x = 1,233.76

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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.