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Finding the Fourth Proportional to 2,853.64, 3,937.14 and 1,611.64

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Solution

The fourth proportional to 2,853.64, 3,937.14 and 1,611.64 is: 2,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.64 : 3,937.14 = 1,611.64 : x
  2. Step 2: Convert to fraction form
    2,853.64/3,937.14 = 1,611.64/x
  3. Step 3: Cross multiply
    2,853.64x = 3,937.14 × 1,611.64
  4. Step 4: Simplify right side
    2,853.64x = 6,345,252.31
  5. Step 5: Solve for x
    x = 6,345,252.31/2,853.64
  6. Step 6: Final answer
    x = 2,223.56

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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.