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Finding the Fourth Proportional to 2,270.46, 3,397.48 and 1,876.80

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Solution

The fourth proportional to 2,270.46, 3,397.48 and 1,876.80 is: 2,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.46 : 3,397.48 = 1,876.80 : x
  2. Step 2: Convert to fraction form
    2,270.46/3,397.48 = 1,876.80/x
  3. Step 3: Cross multiply
    2,270.46x = 3,397.48 × 1,876.80
  4. Step 4: Simplify right side
    2,270.46x = 6,376,398.51
  5. Step 5: Solve for x
    x = 6,376,398.51/2,270.46
  6. Step 6: Final answer
    x = 2,808.41

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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.