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Finding the Fourth Proportional to 1,772.01, 2,440.40 and 1,633.50

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Solution

The fourth proportional to 1,772.01, 2,440.40 and 1,633.50 is: 2,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.01 : 2,440.40 = 1,633.50 : x
  2. Step 2: Convert to fraction form
    1,772.01/2,440.40 = 1,633.50/x
  3. Step 3: Cross multiply
    1,772.01x = 2,440.40 × 1,633.50
  4. Step 4: Simplify right side
    1,772.01x = 3,986,385.23
  5. Step 5: Solve for x
    x = 3,986,385.23/1,772.01
  6. Step 6: Final answer
    x = 2,249.64

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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.