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Finding the Fourth Proportional to 2,784.78, 4,171.50 and 1,959.39

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Solution

The fourth proportional to 2,784.78, 4,171.50 and 1,959.39 is: 2,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.78 : 4,171.50 = 1,959.39 : x
  2. Step 2: Convert to fraction form
    2,784.78/4,171.50 = 1,959.39/x
  3. Step 3: Cross multiply
    2,784.78x = 4,171.50 × 1,959.39
  4. Step 4: Simplify right side
    2,784.78x = 8,173,595.39
  5. Step 5: Solve for x
    x = 8,173,595.39/2,784.78
  6. Step 6: Final answer
    x = 2,935.10

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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.