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Finding the Fourth Proportional to 2,416.62, 3,626.37 and 877.74

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Solution

The fourth proportional to 2,416.62, 3,626.37 and 877.74 is: 1,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.62 : 3,626.37 = 877.74 : x
  2. Step 2: Convert to fraction form
    2,416.62/3,626.37 = 877.74/x
  3. Step 3: Cross multiply
    2,416.62x = 3,626.37 × 877.74
  4. Step 4: Simplify right side
    2,416.62x = 3,183,010.00
  5. Step 5: Solve for x
    x = 3,183,010.00/2,416.62
  6. Step 6: Final answer
    x = 1,317.13

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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.