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Finding the Fourth Proportional to 2,322.58, 3,483.60 and 935.86

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Solution

The fourth proportional to 2,322.58, 3,483.60 and 935.86 is: 1,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.58 : 3,483.60 = 935.86 : x
  2. Step 2: Convert to fraction form
    2,322.58/3,483.60 = 935.86/x
  3. Step 3: Cross multiply
    2,322.58x = 3,483.60 × 935.86
  4. Step 4: Simplify right side
    2,322.58x = 3,260,161.90
  5. Step 5: Solve for x
    x = 3,260,161.90/2,322.58
  6. Step 6: Final answer
    x = 1,403.68

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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.