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Finding the Fourth Proportional to 1,876.06, 2,811.50 and 704.89

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Solution

The fourth proportional to 1,876.06, 2,811.50 and 704.89 is: 1,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.06 : 2,811.50 = 704.89 : x
  2. Step 2: Convert to fraction form
    1,876.06/2,811.50 = 704.89/x
  3. Step 3: Cross multiply
    1,876.06x = 2,811.50 × 704.89
  4. Step 4: Simplify right side
    1,876.06x = 1,981,792.96
  5. Step 5: Solve for x
    x = 1,981,792.96/1,876.06
  6. Step 6: Final answer
    x = 1,056.36

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Why These Related Problems?

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