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Finding the Fourth Proportional to 2,418.53, 3,625.63 and 956.68

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Solution

The fourth proportional to 2,418.53, 3,625.63 and 956.68 is: 1,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.53 : 3,625.63 = 956.68 : x
  2. Step 2: Convert to fraction form
    2,418.53/3,625.63 = 956.68/x
  3. Step 3: Cross multiply
    2,418.53x = 3,625.63 × 956.68
  4. Step 4: Simplify right side
    2,418.53x = 3,468,556.25
  5. Step 5: Solve for x
    x = 3,468,556.25/2,418.53
  6. Step 6: Final answer
    x = 1,434.16

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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.