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Finding the Fourth Proportional to 4,490.30, 6,734.91 and 1,203.66

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Solution

The fourth proportional to 4,490.30, 6,734.91 and 1,203.66 is: 1,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.30 : 6,734.91 = 1,203.66 : x
  2. Step 2: Convert to fraction form
    4,490.30/6,734.91 = 1,203.66/x
  3. Step 3: Cross multiply
    4,490.30x = 6,734.91 × 1,203.66
  4. Step 4: Simplify right side
    4,490.30x = 8,106,546.28
  5. Step 5: Solve for x
    x = 8,106,546.28/4,490.30
  6. Step 6: Final answer
    x = 1,805.35

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