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Finding the Fourth Proportional to 1,616.65, 2,230.71 and 908.46

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Solution

The fourth proportional to 1,616.65, 2,230.71 and 908.46 is: 1,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.65 : 2,230.71 = 908.46 : x
  2. Step 2: Convert to fraction form
    1,616.65/2,230.71 = 908.46/x
  3. Step 3: Cross multiply
    1,616.65x = 2,230.71 × 908.46
  4. Step 4: Simplify right side
    1,616.65x = 2,026,510.81
  5. Step 5: Solve for x
    x = 2,026,510.81/1,616.65
  6. Step 6: Final answer
    x = 1,253.52

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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.