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Finding the Fourth Proportional to 2,200.84, 3,301.80 and 661.84

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Solution

The fourth proportional to 2,200.84, 3,301.80 and 661.84 is: 992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.84 : 3,301.80 = 661.84 : x
  2. Step 2: Convert to fraction form
    2,200.84/3,301.80 = 661.84/x
  3. Step 3: Cross multiply
    2,200.84x = 3,301.80 × 661.84
  4. Step 4: Simplify right side
    2,200.84x = 2,185,263.31
  5. Step 5: Solve for x
    x = 2,185,263.31/2,200.84
  6. Step 6: Final answer
    x = 992.92

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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.