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Finding the Fourth Proportional to 1,521.76, 2,100.02 and 823.14

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Solution

The fourth proportional to 1,521.76, 2,100.02 and 823.14 is: 1,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.76 : 2,100.02 = 823.14 : x
  2. Step 2: Convert to fraction form
    1,521.76/2,100.02 = 823.14/x
  3. Step 3: Cross multiply
    1,521.76x = 2,100.02 × 823.14
  4. Step 4: Simplify right side
    1,521.76x = 1,728,610.46
  5. Step 5: Solve for x
    x = 1,728,610.46/1,521.76
  6. Step 6: Final answer
    x = 1,135.93

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Why These Related Problems?

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