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Finding the Fourth Proportional to 2,133.83, 3,200.72 and 1,022.99

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Solution

The fourth proportional to 2,133.83, 3,200.72 and 1,022.99 is: 1,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.83 : 3,200.72 = 1,022.99 : x
  2. Step 2: Convert to fraction form
    2,133.83/3,200.72 = 1,022.99/x
  3. Step 3: Cross multiply
    2,133.83x = 3,200.72 × 1,022.99
  4. Step 4: Simplify right side
    2,133.83x = 3,274,291.11
  5. Step 5: Solve for x
    x = 3,274,291.11/2,133.83
  6. Step 6: Final answer
    x = 1,534.46

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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.