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Finding the Fourth Proportional to 2,488.07, 3,732.23 and 822.35

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Solution

The fourth proportional to 2,488.07, 3,732.23 and 822.35 is: 1,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.07 : 3,732.23 = 822.35 : x
  2. Step 2: Convert to fraction form
    2,488.07/3,732.23 = 822.35/x
  3. Step 3: Cross multiply
    2,488.07x = 3,732.23 × 822.35
  4. Step 4: Simplify right side
    2,488.07x = 3,069,199.34
  5. Step 5: Solve for x
    x = 3,069,199.34/2,488.07
  6. Step 6: Final answer
    x = 1,233.57

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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.