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Finding the Fourth Proportional to 1,486.67, 2,051.62 and 823.54

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Solution

The fourth proportional to 1,486.67, 2,051.62 and 823.54 is: 1,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.67 : 2,051.62 = 823.54 : x
  2. Step 2: Convert to fraction form
    1,486.67/2,051.62 = 823.54/x
  3. Step 3: Cross multiply
    1,486.67x = 2,051.62 × 823.54
  4. Step 4: Simplify right side
    1,486.67x = 1,689,591.13
  5. Step 5: Solve for x
    x = 1,689,591.13/1,486.67
  6. Step 6: Final answer
    x = 1,136.49

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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.