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Finding the Fourth Proportional to 3,492.15, 4,819.23 and 1,920.27

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Solution

The fourth proportional to 3,492.15, 4,819.23 and 1,920.27 is: 2,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.15 : 4,819.23 = 1,920.27 : x
  2. Step 2: Convert to fraction form
    3,492.15/4,819.23 = 1,920.27/x
  3. Step 3: Cross multiply
    3,492.15x = 4,819.23 × 1,920.27
  4. Step 4: Simplify right side
    3,492.15x = 9,254,222.79
  5. Step 5: Solve for x
    x = 9,254,222.79/3,492.15
  6. Step 6: Final answer
    x = 2,650.01

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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.