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Finding the Fourth Proportional to 2,335.53, 3,498.60 and 1,161.99

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Solution

The fourth proportional to 2,335.53, 3,498.60 and 1,161.99 is: 1,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.53 : 3,498.60 = 1,161.99 : x
  2. Step 2: Convert to fraction form
    2,335.53/3,498.60 = 1,161.99/x
  3. Step 3: Cross multiply
    2,335.53x = 3,498.60 × 1,161.99
  4. Step 4: Simplify right side
    2,335.53x = 4,065,338.21
  5. Step 5: Solve for x
    x = 4,065,338.21/2,335.53
  6. Step 6: Final answer
    x = 1,740.65

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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.