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Finding the Fourth Proportional to 1,607.36, 2,218.20 and 908.72

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Solution

The fourth proportional to 1,607.36, 2,218.20 and 908.72 is: 1,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.36 : 2,218.20 = 908.72 : x
  2. Step 2: Convert to fraction form
    1,607.36/2,218.20 = 908.72/x
  3. Step 3: Cross multiply
    1,607.36x = 2,218.20 × 908.72
  4. Step 4: Simplify right side
    1,607.36x = 2,015,722.70
  5. Step 5: Solve for x
    x = 2,015,722.70/1,607.36
  6. Step 6: Final answer
    x = 1,254.06

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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.