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Finding the Fourth Proportional to 1,568.01, 2,163.76 and 859.71

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Solution

The fourth proportional to 1,568.01, 2,163.76 and 859.71 is: 1,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.01 : 2,163.76 = 859.71 : x
  2. Step 2: Convert to fraction form
    1,568.01/2,163.76 = 859.71/x
  3. Step 3: Cross multiply
    1,568.01x = 2,163.76 × 859.71
  4. Step 4: Simplify right side
    1,568.01x = 1,860,213.95
  5. Step 5: Solve for x
    x = 1,860,213.95/1,568.01
  6. Step 6: Final answer
    x = 1,186.35

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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.