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Finding the Fourth Proportional to 3,056.78, 4,218.42 and 1,861.82

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Solution

The fourth proportional to 3,056.78, 4,218.42 and 1,861.82 is: 2,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.78 : 4,218.42 = 1,861.82 : x
  2. Step 2: Convert to fraction form
    3,056.78/4,218.42 = 1,861.82/x
  3. Step 3: Cross multiply
    3,056.78x = 4,218.42 × 1,861.82
  4. Step 4: Simplify right side
    3,056.78x = 7,853,938.72
  5. Step 5: Solve for x
    x = 7,853,938.72/3,056.78
  6. Step 6: Final answer
    x = 2,569.35

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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.