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Finding the Fourth Proportional to 3,402.30, 4,694.88 and 1,910.01

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Solution

The fourth proportional to 3,402.30, 4,694.88 and 1,910.01 is: 2,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.30 : 4,694.88 = 1,910.01 : x
  2. Step 2: Convert to fraction form
    3,402.30/4,694.88 = 1,910.01/x
  3. Step 3: Cross multiply
    3,402.30x = 4,694.88 × 1,910.01
  4. Step 4: Simplify right side
    3,402.30x = 8,967,267.75
  5. Step 5: Solve for x
    x = 8,967,267.75/3,402.30
  6. Step 6: Final answer
    x = 2,635.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.