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Finding the Fourth Proportional to 2,686.74, 3,707.19 and 1,567.50

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Solution

The fourth proportional to 2,686.74, 3,707.19 and 1,567.50 is: 2,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.74 : 3,707.19 = 1,567.50 : x
  2. Step 2: Convert to fraction form
    2,686.74/3,707.19 = 1,567.50/x
  3. Step 3: Cross multiply
    2,686.74x = 3,707.19 × 1,567.50
  4. Step 4: Simplify right side
    2,686.74x = 5,811,020.33
  5. Step 5: Solve for x
    x = 5,811,020.33/2,686.74
  6. Step 6: Final answer
    x = 2,162.85

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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.