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Finding the Fourth Proportional to 2,416.10, 3,624.42 and 876.74

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Solution

The fourth proportional to 2,416.10, 3,624.42 and 876.74 is: 1,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.10 : 3,624.42 = 876.74 : x
  2. Step 2: Convert to fraction form
    2,416.10/3,624.42 = 876.74/x
  3. Step 3: Cross multiply
    2,416.10x = 3,624.42 × 876.74
  4. Step 4: Simplify right side
    2,416.10x = 3,177,673.99
  5. Step 5: Solve for x
    x = 3,177,673.99/2,416.10
  6. Step 6: Final answer
    x = 1,315.21

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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.