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Finding the Fourth Proportional to 1,521.88, 2,100.19 and 823.25

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Solution

The fourth proportional to 1,521.88, 2,100.19 and 823.25 is: 1,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.88 : 2,100.19 = 823.25 : x
  2. Step 2: Convert to fraction form
    1,521.88/2,100.19 = 823.25/x
  3. Step 3: Cross multiply
    1,521.88x = 2,100.19 × 823.25
  4. Step 4: Simplify right side
    1,521.88x = 1,728,981.42
  5. Step 5: Solve for x
    x = 1,728,981.42/1,521.88
  6. Step 6: Final answer
    x = 1,136.09

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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.