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Finding the Fourth Proportional to 3,203.32, 4,802.23 and 1,255.08

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Solution

The fourth proportional to 3,203.32, 4,802.23 and 1,255.08 is: 1,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.32 : 4,802.23 = 1,255.08 : x
  2. Step 2: Convert to fraction form
    3,203.32/4,802.23 = 1,255.08/x
  3. Step 3: Cross multiply
    3,203.32x = 4,802.23 × 1,255.08
  4. Step 4: Simplify right side
    3,203.32x = 6,027,182.83
  5. Step 5: Solve for x
    x = 6,027,182.83/3,203.32
  6. Step 6: Final answer
    x = 1,881.54

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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.