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Finding the Fourth Proportional to 2,202.93, 3,302.16 and 1,381.77

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Solution

The fourth proportional to 2,202.93, 3,302.16 and 1,381.77 is: 2,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.93 : 3,302.16 = 1,381.77 : x
  2. Step 2: Convert to fraction form
    2,202.93/3,302.16 = 1,381.77/x
  3. Step 3: Cross multiply
    2,202.93x = 3,302.16 × 1,381.77
  4. Step 4: Simplify right side
    2,202.93x = 4,562,825.62
  5. Step 5: Solve for x
    x = 4,562,825.62/2,202.93
  6. Step 6: Final answer
    x = 2,071.25

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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.