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Finding the Fourth Proportional to 1,615.65, 2,431.67 and 1,206.95

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Solution

The fourth proportional to 1,615.65, 2,431.67 and 1,206.95 is: 1,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.65 : 2,431.67 = 1,206.95 : x
  2. Step 2: Convert to fraction form
    1,615.65/2,431.67 = 1,206.95/x
  3. Step 3: Cross multiply
    1,615.65x = 2,431.67 × 1,206.95
  4. Step 4: Simplify right side
    1,615.65x = 2,934,906.38
  5. Step 5: Solve for x
    x = 2,934,906.38/1,615.65
  6. Step 6: Final answer
    x = 1,816.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.