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Finding the Fourth Proportional to 2,415.69, 3,618.05 and 2,361.02

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Solution

The fourth proportional to 2,415.69, 3,618.05 and 2,361.02 is: 3,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.69 : 3,618.05 = 2,361.02 : x
  2. Step 2: Convert to fraction form
    2,415.69/3,618.05 = 2,361.02/x
  3. Step 3: Cross multiply
    2,415.69x = 3,618.05 × 2,361.02
  4. Step 4: Simplify right side
    2,415.69x = 8,542,258.52
  5. Step 5: Solve for x
    x = 8,542,258.52/2,415.69
  6. Step 6: Final answer
    x = 3,536.16

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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.