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Finding the Fourth Proportional to 3,203.66, 4,420.91 and 2,364.06

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Solution

The fourth proportional to 3,203.66, 4,420.91 and 2,364.06 is: 3,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.66 : 4,420.91 = 2,364.06 : x
  2. Step 2: Convert to fraction form
    3,203.66/4,420.91 = 2,364.06/x
  3. Step 3: Cross multiply
    3,203.66x = 4,420.91 × 2,364.06
  4. Step 4: Simplify right side
    3,203.66x = 10,451,302.40
  5. Step 5: Solve for x
    x = 10,451,302.40/3,203.66
  6. Step 6: Final answer
    x = 3,262.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.