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Finding the Fourth Proportional to 2,469.46, 3,701 and 1,848.29

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Solution

The fourth proportional to 2,469.46, 3,701 and 1,848.29 is: 2,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.46 : 3,701 = 1,848.29 : x
  2. Step 2: Convert to fraction form
    2,469.46/3,701 = 1,848.29/x
  3. Step 3: Cross multiply
    2,469.46x = 3,701 × 1,848.29
  4. Step 4: Simplify right side
    2,469.46x = 6,840,521.29
  5. Step 5: Solve for x
    x = 6,840,521.29/2,469.46
  6. Step 6: Final answer
    x = 2,770.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.