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Finding the Fourth Proportional to 1,873.40, 2,809.91 and 832.43

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Solution

The fourth proportional to 1,873.40, 2,809.91 and 832.43 is: 1,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.40 : 2,809.91 = 832.43 : x
  2. Step 2: Convert to fraction form
    1,873.40/2,809.91 = 832.43/x
  3. Step 3: Cross multiply
    1,873.40x = 2,809.91 × 832.43
  4. Step 4: Simplify right side
    1,873.40x = 2,339,062.49
  5. Step 5: Solve for x
    x = 2,339,062.49/1,873.40
  6. Step 6: Final answer
    x = 1,248.57

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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.