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Finding the Fourth Proportional to 1,571.14, 2,168.10 and 908.02

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Solution

The fourth proportional to 1,571.14, 2,168.10 and 908.02 is: 1,253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.14 : 2,168.10 = 908.02 : x
  2. Step 2: Convert to fraction form
    1,571.14/2,168.10 = 908.02/x
  3. Step 3: Cross multiply
    1,571.14x = 2,168.10 × 908.02
  4. Step 4: Simplify right side
    1,571.14x = 1,968,678.16
  5. Step 5: Solve for x
    x = 1,968,678.16/1,571.14
  6. Step 6: Final answer
    x = 1,253.03

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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.