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Finding the Fourth Proportional to 1,323.12, 1,823.64 and 1,027.82

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Solution

The fourth proportional to 1,323.12, 1,823.64 and 1,027.82 is: 1,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.12 : 1,823.64 = 1,027.82 : x
  2. Step 2: Convert to fraction form
    1,323.12/1,823.64 = 1,027.82/x
  3. Step 3: Cross multiply
    1,323.12x = 1,823.64 × 1,027.82
  4. Step 4: Simplify right side
    1,323.12x = 1,874,373.66
  5. Step 5: Solve for x
    x = 1,874,373.66/1,323.12
  6. Step 6: Final answer
    x = 1,416.63

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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.