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Finding the Fourth Proportional to 2,406.54, 3,616.29 and 2,018.28

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Solution

The fourth proportional to 2,406.54, 3,616.29 and 2,018.28 is: 3,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.54 : 3,616.29 = 2,018.28 : x
  2. Step 2: Convert to fraction form
    2,406.54/3,616.29 = 2,018.28/x
  3. Step 3: Cross multiply
    2,406.54x = 3,616.29 × 2,018.28
  4. Step 4: Simplify right side
    2,406.54x = 7,298,685.78
  5. Step 5: Solve for x
    x = 7,298,685.78/2,406.54
  6. Step 6: Final answer
    x = 3,032.85

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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.