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Finding the Fourth Proportional to 2,284.56, 3,153.02 and 1,400.20

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Solution

The fourth proportional to 2,284.56, 3,153.02 and 1,400.20 is: 1,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.56 : 3,153.02 = 1,400.20 : x
  2. Step 2: Convert to fraction form
    2,284.56/3,153.02 = 1,400.20/x
  3. Step 3: Cross multiply
    2,284.56x = 3,153.02 × 1,400.20
  4. Step 4: Simplify right side
    2,284.56x = 4,414,858.60
  5. Step 5: Solve for x
    x = 4,414,858.60/2,284.56
  6. Step 6: Final answer
    x = 1,932.48

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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.