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Finding the Fourth Proportional to 1,571.58, 2,167.29 and 1,197.90

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Solution

The fourth proportional to 1,571.58, 2,167.29 and 1,197.90 is: 1,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.58 : 2,167.29 = 1,197.90 : x
  2. Step 2: Convert to fraction form
    1,571.58/2,167.29 = 1,197.90/x
  3. Step 3: Cross multiply
    1,571.58x = 2,167.29 × 1,197.90
  4. Step 4: Simplify right side
    1,571.58x = 2,596,196.69
  5. Step 5: Solve for x
    x = 2,596,196.69/1,571.58
  6. Step 6: Final answer
    x = 1,651.97

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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.