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Finding the Fourth Proportional to 2,202.33, 3,303.51 and 868.26

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Solution

The fourth proportional to 2,202.33, 3,303.51 and 868.26 is: 1,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.33 : 3,303.51 = 868.26 : x
  2. Step 2: Convert to fraction form
    2,202.33/3,303.51 = 868.26/x
  3. Step 3: Cross multiply
    2,202.33x = 3,303.51 × 868.26
  4. Step 4: Simplify right side
    2,202.33x = 2,868,307.88
  5. Step 5: Solve for x
    x = 2,868,307.88/2,202.33
  6. Step 6: Final answer
    x = 1,302.40

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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.