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Finding the Fourth Proportional to 2,465.44, 3,697.25 and 821.54

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Solution

The fourth proportional to 2,465.44, 3,697.25 and 821.54 is: 1,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.44 : 3,697.25 = 821.54 : x
  2. Step 2: Convert to fraction form
    2,465.44/3,697.25 = 821.54/x
  3. Step 3: Cross multiply
    2,465.44x = 3,697.25 × 821.54
  4. Step 4: Simplify right side
    2,465.44x = 3,037,443.90
  5. Step 5: Solve for x
    x = 3,037,443.90/2,465.44
  6. Step 6: Final answer
    x = 1,232.01

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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.