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Finding the Fourth Proportional to 2,686.26, 3,706.02 and 1,566.63

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Solution

The fourth proportional to 2,686.26, 3,706.02 and 1,566.63 is: 2,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.26 : 3,706.02 = 1,566.63 : x
  2. Step 2: Convert to fraction form
    2,686.26/3,706.02 = 1,566.63/x
  3. Step 3: Cross multiply
    2,686.26x = 3,706.02 × 1,566.63
  4. Step 4: Simplify right side
    2,686.26x = 5,805,962.11
  5. Step 5: Solve for x
    x = 5,805,962.11/2,686.26
  6. Step 6: Final answer
    x = 2,161.36

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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.