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Finding the Fourth Proportional to 2,355.83, 3,530.64 and 1,316.33

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Solution

The fourth proportional to 2,355.83, 3,530.64 and 1,316.33 is: 1,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.83 : 3,530.64 = 1,316.33 : x
  2. Step 2: Convert to fraction form
    2,355.83/3,530.64 = 1,316.33/x
  3. Step 3: Cross multiply
    2,355.83x = 3,530.64 × 1,316.33
  4. Step 4: Simplify right side
    2,355.83x = 4,647,469.70
  5. Step 5: Solve for x
    x = 4,647,469.70/2,355.83
  6. Step 6: Final answer
    x = 1,972.76

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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.