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Finding the Fourth Proportional to 2,214.96, 3,057 and 1,283.76

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Solution

The fourth proportional to 2,214.96, 3,057 and 1,283.76 is: 1,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.96 : 3,057 = 1,283.76 : x
  2. Step 2: Convert to fraction form
    2,214.96/3,057 = 1,283.76/x
  3. Step 3: Cross multiply
    2,214.96x = 3,057 × 1,283.76
  4. Step 4: Simplify right side
    2,214.96x = 3,924,454.32
  5. Step 5: Solve for x
    x = 3,924,454.32/2,214.96
  6. Step 6: Final answer
    x = 1,771.79

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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.