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Finding the Fourth Proportional to 2,656.33, 3,984.45 and 1,616.62

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Solution

The fourth proportional to 2,656.33, 3,984.45 and 1,616.62 is: 2,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.33 : 3,984.45 = 1,616.62 : x
  2. Step 2: Convert to fraction form
    2,656.33/3,984.45 = 1,616.62/x
  3. Step 3: Cross multiply
    2,656.33x = 3,984.45 × 1,616.62
  4. Step 4: Simplify right side
    2,656.33x = 6,441,341.56
  5. Step 5: Solve for x
    x = 6,441,341.56/2,656.33
  6. Step 6: Final answer
    x = 2,424.90

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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.