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Finding the Fourth Proportional to 2,416.09, 3,621.67 and 953.23

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Solution

The fourth proportional to 2,416.09, 3,621.67 and 953.23 is: 1,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.09 : 3,621.67 = 953.23 : x
  2. Step 2: Convert to fraction form
    2,416.09/3,621.67 = 953.23/x
  3. Step 3: Cross multiply
    2,416.09x = 3,621.67 × 953.23
  4. Step 4: Simplify right side
    2,416.09x = 3,452,284.49
  5. Step 5: Solve for x
    x = 3,452,284.49/2,416.09
  6. Step 6: Final answer
    x = 1,428.87

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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.