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Finding the Fourth Proportional to 1,521.51, 2,099.69 and 822.89

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Solution

The fourth proportional to 1,521.51, 2,099.69 and 822.89 is: 1,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.51 : 2,099.69 = 822.89 : x
  2. Step 2: Convert to fraction form
    1,521.51/2,099.69 = 822.89/x
  3. Step 3: Cross multiply
    1,521.51x = 2,099.69 × 822.89
  4. Step 4: Simplify right side
    1,521.51x = 1,727,813.90
  5. Step 5: Solve for x
    x = 1,727,813.90/1,521.51
  6. Step 6: Final answer
    x = 1,135.59

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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.