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Finding the Fourth Proportional to 1,863.36, 2,796.84 and 1,420.47

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Solution

The fourth proportional to 1,863.36, 2,796.84 and 1,420.47 is: 2,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.36 : 2,796.84 = 1,420.47 : x
  2. Step 2: Convert to fraction form
    1,863.36/2,796.84 = 1,420.47/x
  3. Step 3: Cross multiply
    1,863.36x = 2,796.84 × 1,420.47
  4. Step 4: Simplify right side
    1,863.36x = 3,972,827.31
  5. Step 5: Solve for x
    x = 3,972,827.31/1,863.36
  6. Step 6: Final answer
    x = 2,132.08

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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.