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Finding the Fourth Proportional to 4,542.69, 6,816.76 and 1,770.67

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Solution

The fourth proportional to 4,542.69, 6,816.76 and 1,770.67 is: 2,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.69 : 6,816.76 = 1,770.67 : x
  2. Step 2: Convert to fraction form
    4,542.69/6,816.76 = 1,770.67/x
  3. Step 3: Cross multiply
    4,542.69x = 6,816.76 × 1,770.67
  4. Step 4: Simplify right side
    4,542.69x = 12,070,232.43
  5. Step 5: Solve for x
    x = 12,070,232.43/4,542.69
  6. Step 6: Final answer
    x = 2,657.07

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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.