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Finding the Fourth Proportional to 2,145.83, 3,217.82 and 1,323.90

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Solution

The fourth proportional to 2,145.83, 3,217.82 and 1,323.90 is: 1,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.83 : 3,217.82 = 1,323.90 : x
  2. Step 2: Convert to fraction form
    2,145.83/3,217.82 = 1,323.90/x
  3. Step 3: Cross multiply
    2,145.83x = 3,217.82 × 1,323.90
  4. Step 4: Simplify right side
    2,145.83x = 4,260,065.28
  5. Step 5: Solve for x
    x = 4,260,065.28/2,145.83
  6. Step 6: Final answer
    x = 1,985.28

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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.