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Finding the Fourth Proportional to 2,202.28, 3,303.47 and 886.16

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Solution

The fourth proportional to 2,202.28, 3,303.47 and 886.16 is: 1,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.28 : 3,303.47 = 886.16 : x
  2. Step 2: Convert to fraction form
    2,202.28/3,303.47 = 886.16/x
  3. Step 3: Cross multiply
    2,202.28x = 3,303.47 × 886.16
  4. Step 4: Simplify right side
    2,202.28x = 2,927,406.80
  5. Step 5: Solve for x
    x = 2,927,406.80/2,202.28
  6. Step 6: Final answer
    x = 1,329.26

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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.