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Finding the Fourth Proportional to 2,416.13, 3,624.33 and 661.16

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Solution

The fourth proportional to 2,416.13, 3,624.33 and 661.16 is: 991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.13 : 3,624.33 = 661.16 : x
  2. Step 2: Convert to fraction form
    2,416.13/3,624.33 = 661.16/x
  3. Step 3: Cross multiply
    2,416.13x = 3,624.33 × 661.16
  4. Step 4: Simplify right side
    2,416.13x = 2,396,243.90
  5. Step 5: Solve for x
    x = 2,396,243.90/2,416.13
  6. Step 6: Final answer
    x = 991.77

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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.