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Finding the Fourth Proportional to 1,713.76, 2,569.12 and 823.77

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Solution

The fourth proportional to 1,713.76, 2,569.12 and 823.77 is: 1,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.76 : 2,569.12 = 823.77 : x
  2. Step 2: Convert to fraction form
    1,713.76/2,569.12 = 823.77/x
  3. Step 3: Cross multiply
    1,713.76x = 2,569.12 × 823.77
  4. Step 4: Simplify right side
    1,713.76x = 2,116,361.92
  5. Step 5: Solve for x
    x = 2,116,361.92/1,713.76
  6. Step 6: Final answer
    x = 1,234.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.