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Finding the Fourth Proportional to 1,874.23, 2,810.80 and 557.93

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Solution

The fourth proportional to 1,874.23, 2,810.80 and 557.93 is: 836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.23 : 2,810.80 = 557.93 : x
  2. Step 2: Convert to fraction form
    1,874.23/2,810.80 = 557.93/x
  3. Step 3: Cross multiply
    1,874.23x = 2,810.80 × 557.93
  4. Step 4: Simplify right side
    1,874.23x = 1,568,215.59
  5. Step 5: Solve for x
    x = 1,568,215.59/1,874.23
  6. Step 6: Final answer
    x = 836.73

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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.