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Finding the Fourth Proportional to 1,875.91, 2,811.72 and 834.34

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Solution

The fourth proportional to 1,875.91, 2,811.72 and 834.34 is: 1,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.91 : 2,811.72 = 834.34 : x
  2. Step 2: Convert to fraction form
    1,875.91/2,811.72 = 834.34/x
  3. Step 3: Cross multiply
    1,875.91x = 2,811.72 × 834.34
  4. Step 4: Simplify right side
    1,875.91x = 2,345,930.46
  5. Step 5: Solve for x
    x = 2,345,930.46/1,875.91
  6. Step 6: Final answer
    x = 1,250.56

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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.