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Finding the Fourth Proportional to 2,686.68, 3,707.69 and 1,567.67

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Solution

The fourth proportional to 2,686.68, 3,707.69 and 1,567.67 is: 2,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.68 : 3,707.69 = 1,567.67 : x
  2. Step 2: Convert to fraction form
    2,686.68/3,707.69 = 1,567.67/x
  3. Step 3: Cross multiply
    2,686.68x = 3,707.69 × 1,567.67
  4. Step 4: Simplify right side
    2,686.68x = 5,812,408.01
  5. Step 5: Solve for x
    x = 5,812,408.01/2,686.68
  6. Step 6: Final answer
    x = 2,163.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.