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Finding the Fourth Proportional to 2,706.41, 4,053.45 and 2,117.74

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Solution

The fourth proportional to 2,706.41, 4,053.45 and 2,117.74 is: 3,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.41 : 4,053.45 = 2,117.74 : x
  2. Step 2: Convert to fraction form
    2,706.41/4,053.45 = 2,117.74/x
  3. Step 3: Cross multiply
    2,706.41x = 4,053.45 × 2,117.74
  4. Step 4: Simplify right side
    2,706.41x = 8,584,143.07
  5. Step 5: Solve for x
    x = 8,584,143.07/2,706.41
  6. Step 6: Final answer
    x = 3,171.79

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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.