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Finding the Fourth Proportional to 1,567.78, 2,163.18 and 1,063.70

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Solution

The fourth proportional to 1,567.78, 2,163.18 and 1,063.70 is: 1,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.78 : 2,163.18 = 1,063.70 : x
  2. Step 2: Convert to fraction form
    1,567.78/2,163.18 = 1,063.70/x
  3. Step 3: Cross multiply
    1,567.78x = 2,163.18 × 1,063.70
  4. Step 4: Simplify right side
    1,567.78x = 2,300,975.18
  5. Step 5: Solve for x
    x = 2,300,975.18/1,567.78
  6. Step 6: Final answer
    x = 1,467.67

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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.