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Finding the Fourth Proportional to 1,567.26, 2,162.79 and 859.10

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Solution

The fourth proportional to 1,567.26, 2,162.79 and 859.10 is: 1,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.26 : 2,162.79 = 859.10 : x
  2. Step 2: Convert to fraction form
    1,567.26/2,162.79 = 859.10/x
  3. Step 3: Cross multiply
    1,567.26x = 2,162.79 × 859.10
  4. Step 4: Simplify right side
    1,567.26x = 1,858,052.89
  5. Step 5: Solve for x
    x = 1,858,052.89/1,567.26
  6. Step 6: Final answer
    x = 1,185.54

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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.