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Finding the Fourth Proportional to 2,488.37, 3,732.64 and 822.53

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Solution

The fourth proportional to 2,488.37, 3,732.64 and 822.53 is: 1,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.37 : 3,732.64 = 822.53 : x
  2. Step 2: Convert to fraction form
    2,488.37/3,732.64 = 822.53/x
  3. Step 3: Cross multiply
    2,488.37x = 3,732.64 × 822.53
  4. Step 4: Simplify right side
    2,488.37x = 3,070,208.38
  5. Step 5: Solve for x
    x = 3,070,208.38/2,488.37
  6. Step 6: Final answer
    x = 1,233.82

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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.