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Finding the Fourth Proportional to 1,486.73, 2,051.61 and 823.61

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Solution

The fourth proportional to 1,486.73, 2,051.61 and 823.61 is: 1,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.73 : 2,051.61 = 823.61 : x
  2. Step 2: Convert to fraction form
    1,486.73/2,051.61 = 823.61/x
  3. Step 3: Cross multiply
    1,486.73x = 2,051.61 × 823.61
  4. Step 4: Simplify right side
    1,486.73x = 1,689,716.25
  5. Step 5: Solve for x
    x = 1,689,716.25/1,486.73
  6. Step 6: Final answer
    x = 1,136.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.