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Finding the Fourth Proportional to 2,465.44, 3,697.27 and 821.62

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Solution

The fourth proportional to 2,465.44, 3,697.27 and 821.62 is: 1,232.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.44 : 3,697.27 = 821.62 : x
  2. Step 2: Convert to fraction form
    2,465.44/3,697.27 = 821.62/x
  3. Step 3: Cross multiply
    2,465.44x = 3,697.27 × 821.62
  4. Step 4: Simplify right side
    2,465.44x = 3,037,750.98
  5. Step 5: Solve for x
    x = 3,037,750.98/2,465.44
  6. Step 6: Final answer
    x = 1,232.13

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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.