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Finding the Fourth Proportional to 3,102.96, 4,282.29 and 1,777.08

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Solution

The fourth proportional to 3,102.96, 4,282.29 and 1,777.08 is: 2,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.96 : 4,282.29 = 1,777.08 : x
  2. Step 2: Convert to fraction form
    3,102.96/4,282.29 = 1,777.08/x
  3. Step 3: Cross multiply
    3,102.96x = 4,282.29 × 1,777.08
  4. Step 4: Simplify right side
    3,102.96x = 7,609,971.91
  5. Step 5: Solve for x
    x = 7,609,971.91/3,102.96
  6. Step 6: Final answer
    x = 2,452.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.