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Finding the Fourth Proportional to 2,686.29, 3,706.33 and 1,742.13

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Solution

The fourth proportional to 2,686.29, 3,706.33 and 1,742.13 is: 2,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.29 : 3,706.33 = 1,742.13 : x
  2. Step 2: Convert to fraction form
    2,686.29/3,706.33 = 1,742.13/x
  3. Step 3: Cross multiply
    2,686.29x = 3,706.33 × 1,742.13
  4. Step 4: Simplify right side
    2,686.29x = 6,456,881.44
  5. Step 5: Solve for x
    x = 6,456,881.44/2,686.29
  6. Step 6: Final answer
    x = 2,403.64

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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.