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Finding the Fourth Proportional to 2,322.86, 3,483.41 and 935.72

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Solution

The fourth proportional to 2,322.86, 3,483.41 and 935.72 is: 1,403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.86 : 3,483.41 = 935.72 : x
  2. Step 2: Convert to fraction form
    2,322.86/3,483.41 = 935.72/x
  3. Step 3: Cross multiply
    2,322.86x = 3,483.41 × 935.72
  4. Step 4: Simplify right side
    2,322.86x = 3,259,496.41
  5. Step 5: Solve for x
    x = 3,259,496.41/2,322.86
  6. Step 6: Final answer
    x = 1,403.23

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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.