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Finding the Fourth Proportional to 1,874.23, 2,810.83 and 704.14

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Solution

The fourth proportional to 1,874.23, 2,810.83 and 704.14 is: 1,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.23 : 2,810.83 = 704.14 : x
  2. Step 2: Convert to fraction form
    1,874.23/2,810.83 = 704.14/x
  3. Step 3: Cross multiply
    1,874.23x = 2,810.83 × 704.14
  4. Step 4: Simplify right side
    1,874.23x = 1,979,226.62
  5. Step 5: Solve for x
    x = 1,979,226.62/1,874.23
  6. Step 6: Final answer
    x = 1,056.02

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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.