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Finding the Fourth Proportional to 2,143.83, 3,216.95 and 1,170.99

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Solution

The fourth proportional to 2,143.83, 3,216.95 and 1,170.99 is: 1,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.83 : 3,216.95 = 1,170.99 : x
  2. Step 2: Convert to fraction form
    2,143.83/3,216.95 = 1,170.99/x
  3. Step 3: Cross multiply
    2,143.83x = 3,216.95 × 1,170.99
  4. Step 4: Simplify right side
    2,143.83x = 3,767,010.43
  5. Step 5: Solve for x
    x = 3,767,010.43/2,143.83
  6. Step 6: Final answer
    x = 1,757.14

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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.