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Finding the Fourth Proportional to 1,616.81, 2,425.21 and 1,290.65

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Solution

The fourth proportional to 1,616.81, 2,425.21 and 1,290.65 is: 1,935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.81 : 2,425.21 = 1,290.65 : x
  2. Step 2: Convert to fraction form
    1,616.81/2,425.21 = 1,290.65/x
  3. Step 3: Cross multiply
    1,616.81x = 2,425.21 × 1,290.65
  4. Step 4: Simplify right side
    1,616.81x = 3,130,081.93
  5. Step 5: Solve for x
    x = 3,130,081.93/1,616.81
  6. Step 6: Final answer
    x = 1,935.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.