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Finding the Fourth Proportional to 2,685.61, 3,706.09 and 1,490.59

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Solution

The fourth proportional to 2,685.61, 3,706.09 and 1,490.59 is: 2,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.61 : 3,706.09 = 1,490.59 : x
  2. Step 2: Convert to fraction form
    2,685.61/3,706.09 = 1,490.59/x
  3. Step 3: Cross multiply
    2,685.61x = 3,706.09 × 1,490.59
  4. Step 4: Simplify right side
    2,685.61x = 5,524,262.68
  5. Step 5: Solve for x
    x = 5,524,262.68/2,685.61
  6. Step 6: Final answer
    x = 2,056.99

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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.