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Finding the Fourth Proportional to 3,492.84, 4,820.10 and 2,000.76

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Solution

The fourth proportional to 3,492.84, 4,820.10 and 2,000.76 is: 2,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.84 : 4,820.10 = 2,000.76 : x
  2. Step 2: Convert to fraction form
    3,492.84/4,820.10 = 2,000.76/x
  3. Step 3: Cross multiply
    3,492.84x = 4,820.10 × 2,000.76
  4. Step 4: Simplify right side
    3,492.84x = 9,643,863.28
  5. Step 5: Solve for x
    x = 9,643,863.28/3,492.84
  6. Step 6: Final answer
    x = 2,761.04

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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.