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Finding the Fourth Proportional to 2,685.15, 3,706.14 and 1,566.64

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Solution

The fourth proportional to 2,685.15, 3,706.14 and 1,566.64 is: 2,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.15 : 3,706.14 = 1,566.64 : x
  2. Step 2: Convert to fraction form
    2,685.15/3,706.14 = 1,566.64/x
  3. Step 3: Cross multiply
    2,685.15x = 3,706.14 × 1,566.64
  4. Step 4: Simplify right side
    2,685.15x = 5,806,160.81
  5. Step 5: Solve for x
    x = 5,806,160.81/2,685.15
  6. Step 6: Final answer
    x = 2,162.33

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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.