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Finding the Fourth Proportional to 1,748.93, 2,623.77 and 871.90

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Solution

The fourth proportional to 1,748.93, 2,623.77 and 871.90 is: 1,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.93 : 2,623.77 = 871.90 : x
  2. Step 2: Convert to fraction form
    1,748.93/2,623.77 = 871.90/x
  3. Step 3: Cross multiply
    1,748.93x = 2,623.77 × 871.90
  4. Step 4: Simplify right side
    1,748.93x = 2,287,660.70
  5. Step 5: Solve for x
    x = 2,287,660.70/1,748.93
  6. Step 6: Final answer
    x = 1,308.04

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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.