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Finding the Fourth Proportional to 1,486.89, 2,051.85 and 823.80

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Solution

The fourth proportional to 1,486.89, 2,051.85 and 823.80 is: 1,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.89 : 2,051.85 = 823.80 : x
  2. Step 2: Convert to fraction form
    1,486.89/2,051.85 = 823.80/x
  3. Step 3: Cross multiply
    1,486.89x = 2,051.85 × 823.80
  4. Step 4: Simplify right side
    1,486.89x = 1,690,314.03
  5. Step 5: Solve for x
    x = 1,690,314.03/1,486.89
  6. Step 6: Final answer
    x = 1,136.81

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