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Finding the Fourth Proportional to 2,051.78, 2,824.31 and 1,789.34

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Solution

The fourth proportional to 2,051.78, 2,824.31 and 1,789.34 is: 2,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.78 : 2,824.31 = 1,789.34 : x
  2. Step 2: Convert to fraction form
    2,051.78/2,824.31 = 1,789.34/x
  3. Step 3: Cross multiply
    2,051.78x = 2,824.31 × 1,789.34
  4. Step 4: Simplify right side
    2,051.78x = 5,053,627.79
  5. Step 5: Solve for x
    x = 5,053,627.79/2,051.78
  6. Step 6: Final answer
    x = 2,463.05

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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.