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Finding the Fourth Proportional to 1,567.02, 2,162.22 and 868.26

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Solution

The fourth proportional to 1,567.02, 2,162.22 and 868.26 is: 1,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.02 : 2,162.22 = 868.26 : x
  2. Step 2: Convert to fraction form
    1,567.02/2,162.22 = 868.26/x
  3. Step 3: Cross multiply
    1,567.02x = 2,162.22 × 868.26
  4. Step 4: Simplify right side
    1,567.02x = 1,877,369.14
  5. Step 5: Solve for x
    x = 1,877,369.14/1,567.02
  6. Step 6: Final answer
    x = 1,198.05

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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.