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Finding the Fourth Proportional to 2,770.58, 4,154.83 and 1,307.22

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Solution

The fourth proportional to 2,770.58, 4,154.83 and 1,307.22 is: 1,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.58 : 4,154.83 = 1,307.22 : x
  2. Step 2: Convert to fraction form
    2,770.58/4,154.83 = 1,307.22/x
  3. Step 3: Cross multiply
    2,770.58x = 4,154.83 × 1,307.22
  4. Step 4: Simplify right side
    2,770.58x = 5,431,276.87
  5. Step 5: Solve for x
    x = 5,431,276.87/2,770.58
  6. Step 6: Final answer
    x = 1,960.34

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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.