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Finding the Fourth Proportional to 2,435.46, 3,655.47 and 1,338.32

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Solution

The fourth proportional to 2,435.46, 3,655.47 and 1,338.32 is: 2,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.46 : 3,655.47 = 1,338.32 : x
  2. Step 2: Convert to fraction form
    2,435.46/3,655.47 = 1,338.32/x
  3. Step 3: Cross multiply
    2,435.46x = 3,655.47 × 1,338.32
  4. Step 4: Simplify right side
    2,435.46x = 4,892,170.33
  5. Step 5: Solve for x
    x = 4,892,170.33/2,435.46
  6. Step 6: Final answer
    x = 2,008.73

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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.