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Finding the Fourth Proportional to 1,486.33, 2,051.08 and 823.21

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Solution

The fourth proportional to 1,486.33, 2,051.08 and 823.21 is: 1,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.33 : 2,051.08 = 823.21 : x
  2. Step 2: Convert to fraction form
    1,486.33/2,051.08 = 823.21/x
  3. Step 3: Cross multiply
    1,486.33x = 2,051.08 × 823.21
  4. Step 4: Simplify right side
    1,486.33x = 1,688,469.57
  5. Step 5: Solve for x
    x = 1,688,469.57/1,486.33
  6. Step 6: Final answer
    x = 1,136.00

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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.