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Finding the Fourth Proportional to 1,245.64, 1,867.24 and 922.45

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Solution

The fourth proportional to 1,245.64, 1,867.24 and 922.45 is: 1,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.64 : 1,867.24 = 922.45 : x
  2. Step 2: Convert to fraction form
    1,245.64/1,867.24 = 922.45/x
  3. Step 3: Cross multiply
    1,245.64x = 1,867.24 × 922.45
  4. Step 4: Simplify right side
    1,245.64x = 1,722,435.54
  5. Step 5: Solve for x
    x = 1,722,435.54/1,245.64
  6. Step 6: Final answer
    x = 1,382.77

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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.