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Finding the Fourth Proportional to 2,465.30, 3,697.98 and 821.85

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Solution

The fourth proportional to 2,465.30, 3,697.98 and 821.85 is: 1,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.30 : 3,697.98 = 821.85 : x
  2. Step 2: Convert to fraction form
    2,465.30/3,697.98 = 821.85/x
  3. Step 3: Cross multiply
    2,465.30x = 3,697.98 × 821.85
  4. Step 4: Simplify right side
    2,465.30x = 3,039,180.75
  5. Step 5: Solve for x
    x = 3,039,180.75/2,465.30
  6. Step 6: Final answer
    x = 1,232.79

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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.