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Finding the Fourth Proportional to 1,656.52, 2,481.66 and 834.76

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Solution

The fourth proportional to 1,656.52, 2,481.66 and 834.76 is: 1,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.52 : 2,481.66 = 834.76 : x
  2. Step 2: Convert to fraction form
    1,656.52/2,481.66 = 834.76/x
  3. Step 3: Cross multiply
    1,656.52x = 2,481.66 × 834.76
  4. Step 4: Simplify right side
    1,656.52x = 2,071,590.50
  5. Step 5: Solve for x
    x = 2,071,590.50/1,656.52
  6. Step 6: Final answer
    x = 1,250.57

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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.