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Finding the Fourth Proportional to 3,492.94, 4,819.92 and 2,000.86

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Solution

The fourth proportional to 3,492.94, 4,819.92 and 2,000.86 is: 2,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.94 : 4,819.92 = 2,000.86 : x
  2. Step 2: Convert to fraction form
    3,492.94/4,819.92 = 2,000.86/x
  3. Step 3: Cross multiply
    3,492.94x = 4,819.92 × 2,000.86
  4. Step 4: Simplify right side
    3,492.94x = 9,643,985.13
  5. Step 5: Solve for x
    x = 9,643,985.13/3,492.94
  6. Step 6: Final answer
    x = 2,760.99

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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.