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Finding the Fourth Proportional to 1,510.91, 2,084.19 and 1,212.49

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Solution

The fourth proportional to 1,510.91, 2,084.19 and 1,212.49 is: 1,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.91 : 2,084.19 = 1,212.49 : x
  2. Step 2: Convert to fraction form
    1,510.91/2,084.19 = 1,212.49/x
  3. Step 3: Cross multiply
    1,510.91x = 2,084.19 × 1,212.49
  4. Step 4: Simplify right side
    1,510.91x = 2,527,055.14
  5. Step 5: Solve for x
    x = 2,527,055.14/1,510.91
  6. Step 6: Final answer
    x = 1,672.54

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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.