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Finding the Fourth Proportional to 2,906.73, 4,011.39 and 1,787.45

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Solution

The fourth proportional to 2,906.73, 4,011.39 and 1,787.45 is: 2,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.73 : 4,011.39 = 1,787.45 : x
  2. Step 2: Convert to fraction form
    2,906.73/4,011.39 = 1,787.45/x
  3. Step 3: Cross multiply
    2,906.73x = 4,011.39 × 1,787.45
  4. Step 4: Simplify right side
    2,906.73x = 7,170,182.26
  5. Step 5: Solve for x
    x = 7,170,182.26/2,906.73
  6. Step 6: Final answer
    x = 2,466.75

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1.5x scale

Why These Related Problems?

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