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Finding the Fourth Proportional to 3,464.92, 4,781.61 and 1,892.98

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Solution

The fourth proportional to 3,464.92, 4,781.61 and 1,892.98 is: 2,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.92 : 4,781.61 = 1,892.98 : x
  2. Step 2: Convert to fraction form
    3,464.92/4,781.61 = 1,892.98/x
  3. Step 3: Cross multiply
    3,464.92x = 4,781.61 × 1,892.98
  4. Step 4: Simplify right side
    3,464.92x = 9,051,492.10
  5. Step 5: Solve for x
    x = 9,051,492.10/3,464.92
  6. Step 6: Final answer
    x = 2,612.32

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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.