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Finding the Fourth Proportional to 1,487.03, 2,051.96 and 823.82

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Solution

The fourth proportional to 1,487.03, 2,051.96 and 823.82 is: 1,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.03 : 2,051.96 = 823.82 : x
  2. Step 2: Convert to fraction form
    1,487.03/2,051.96 = 823.82/x
  3. Step 3: Cross multiply
    1,487.03x = 2,051.96 × 823.82
  4. Step 4: Simplify right side
    1,487.03x = 1,690,445.69
  5. Step 5: Solve for x
    x = 1,690,445.69/1,487.03
  6. Step 6: Final answer
    x = 1,136.79

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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.