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Finding the Fourth Proportional to 3,202.64, 4,805.37 and 1,254.18

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Solution

The fourth proportional to 3,202.64, 4,805.37 and 1,254.18 is: 1,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.64 : 4,805.37 = 1,254.18 : x
  2. Step 2: Convert to fraction form
    3,202.64/4,805.37 = 1,254.18/x
  3. Step 3: Cross multiply
    3,202.64x = 4,805.37 × 1,254.18
  4. Step 4: Simplify right side
    3,202.64x = 6,026,798.95
  5. Step 5: Solve for x
    x = 6,026,798.95/3,202.64
  6. Step 6: Final answer
    x = 1,881.82

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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.