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Finding the Fourth Proportional to 1,567.34, 2,162.88 and 859.16

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Solution

The fourth proportional to 1,567.34, 2,162.88 and 859.16 is: 1,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.34 : 2,162.88 = 859.16 : x
  2. Step 2: Convert to fraction form
    1,567.34/2,162.88 = 859.16/x
  3. Step 3: Cross multiply
    1,567.34x = 2,162.88 × 859.16
  4. Step 4: Simplify right side
    1,567.34x = 1,858,259.98
  5. Step 5: Solve for x
    x = 1,858,259.98/1,567.34
  6. Step 6: Final answer
    x = 1,185.61

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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.