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Finding the Fourth Proportional to 1,727.79, 2,603.22 and 1,563.47

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Solution

The fourth proportional to 1,727.79, 2,603.22 and 1,563.47 is: 2,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.79 : 2,603.22 = 1,563.47 : x
  2. Step 2: Convert to fraction form
    1,727.79/2,603.22 = 1,563.47/x
  3. Step 3: Cross multiply
    1,727.79x = 2,603.22 × 1,563.47
  4. Step 4: Simplify right side
    1,727.79x = 4,070,043.36
  5. Step 5: Solve for x
    x = 4,070,043.36/1,727.79
  6. Step 6: Final answer
    x = 2,355.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.