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Finding the Fourth Proportional to 1,874.73, 2,812.14 and 575.94

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Solution

The fourth proportional to 1,874.73, 2,812.14 and 575.94 is: 863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.73 : 2,812.14 = 575.94 : x
  2. Step 2: Convert to fraction form
    1,874.73/2,812.14 = 575.94/x
  3. Step 3: Cross multiply
    1,874.73x = 2,812.14 × 575.94
  4. Step 4: Simplify right side
    1,874.73x = 1,619,623.91
  5. Step 5: Solve for x
    x = 1,619,623.91/1,874.73
  6. Step 6: Final answer
    x = 863.92

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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.