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Finding the Fourth Proportional to 2,383, 3,574.72 and 822.78

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Solution

The fourth proportional to 2,383, 3,574.72 and 822.78 is: 1,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383 : 3,574.72 = 822.78 : x
  2. Step 2: Convert to fraction form
    2,383/3,574.72 = 822.78/x
  3. Step 3: Cross multiply
    2,383x = 3,574.72 × 822.78
  4. Step 4: Simplify right side
    2,383x = 2,941,208.12
  5. Step 5: Solve for x
    x = 2,941,208.12/2,383
  6. Step 6: Final answer
    x = 1,234.25

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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.