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Finding the Fourth Proportional to 1,711.58, 2,567.78 and 889.67

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Solution

The fourth proportional to 1,711.58, 2,567.78 and 889.67 is: 1,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.58 : 2,567.78 = 889.67 : x
  2. Step 2: Convert to fraction form
    1,711.58/2,567.78 = 889.67/x
  3. Step 3: Cross multiply
    1,711.58x = 2,567.78 × 889.67
  4. Step 4: Simplify right side
    1,711.58x = 2,284,459.55
  5. Step 5: Solve for x
    x = 2,284,459.55/1,711.58
  6. Step 6: Final answer
    x = 1,334.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.