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Finding the Fourth Proportional to 3,203.35, 4,420.68 and 1,787.06

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Solution

The fourth proportional to 3,203.35, 4,420.68 and 1,787.06 is: 2,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.35 : 4,420.68 = 1,787.06 : x
  2. Step 2: Convert to fraction form
    3,203.35/4,420.68 = 1,787.06/x
  3. Step 3: Cross multiply
    3,203.35x = 4,420.68 × 1,787.06
  4. Step 4: Simplify right side
    3,203.35x = 7,900,024.75
  5. Step 5: Solve for x
    x = 7,900,024.75/3,203.35
  6. Step 6: Final answer
    x = 2,466.18

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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.