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Finding the Fourth Proportional to 2,838.76, 3,915.96 and 1,659.64

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Solution

The fourth proportional to 2,838.76, 3,915.96 and 1,659.64 is: 2,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.76 : 3,915.96 = 1,659.64 : x
  2. Step 2: Convert to fraction form
    2,838.76/3,915.96 = 1,659.64/x
  3. Step 3: Cross multiply
    2,838.76x = 3,915.96 × 1,659.64
  4. Step 4: Simplify right side
    2,838.76x = 6,499,083.85
  5. Step 5: Solve for x
    x = 6,499,083.85/2,838.76
  6. Step 6: Final answer
    x = 2,289.41

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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.