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Finding the Fourth Proportional to 2,685.50, 3,706 and 1,567.21

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Solution

The fourth proportional to 2,685.50, 3,706 and 1,567.21 is: 2,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.50 : 3,706 = 1,567.21 : x
  2. Step 2: Convert to fraction form
    2,685.50/3,706 = 1,567.21/x
  3. Step 3: Cross multiply
    2,685.50x = 3,706 × 1,567.21
  4. Step 4: Simplify right side
    2,685.50x = 5,808,080.26
  5. Step 5: Solve for x
    x = 5,808,080.26/2,685.50
  6. Step 6: Final answer
    x = 2,162.76

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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.