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Finding the Fourth Proportional to 1,857.62, 2,783.36 and 932.24

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Solution

The fourth proportional to 1,857.62, 2,783.36 and 932.24 is: 1,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.62 : 2,783.36 = 932.24 : x
  2. Step 2: Convert to fraction form
    1,857.62/2,783.36 = 932.24/x
  3. Step 3: Cross multiply
    1,857.62x = 2,783.36 × 932.24
  4. Step 4: Simplify right side
    1,857.62x = 2,594,759.53
  5. Step 5: Solve for x
    x = 2,594,759.53/1,857.62
  6. Step 6: Final answer
    x = 1,396.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.