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Finding the Fourth Proportional to 1,571.57, 2,168.66 and 899.45

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Solution

The fourth proportional to 1,571.57, 2,168.66 and 899.45 is: 1,241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.57 : 2,168.66 = 899.45 : x
  2. Step 2: Convert to fraction form
    1,571.57/2,168.66 = 899.45/x
  3. Step 3: Cross multiply
    1,571.57x = 2,168.66 × 899.45
  4. Step 4: Simplify right side
    1,571.57x = 1,950,585.90
  5. Step 5: Solve for x
    x = 1,950,585.90/1,571.57
  6. Step 6: Final answer
    x = 1,241.17

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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.