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Finding the Fourth Proportional to 2,770.85, 4,152.69 and 1,125.49

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Solution

The fourth proportional to 2,770.85, 4,152.69 and 1,125.49 is: 1,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.85 : 4,152.69 = 1,125.49 : x
  2. Step 2: Convert to fraction form
    2,770.85/4,152.69 = 1,125.49/x
  3. Step 3: Cross multiply
    2,770.85x = 4,152.69 × 1,125.49
  4. Step 4: Simplify right side
    2,770.85x = 4,673,797.87
  5. Step 5: Solve for x
    x = 4,673,797.87/2,770.85
  6. Step 6: Final answer
    x = 1,686.77

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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.