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Finding the Fourth Proportional to 4,770.70, 7,156.52 and 1,260.74

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Solution

The fourth proportional to 4,770.70, 7,156.52 and 1,260.74 is: 1,891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.70 : 7,156.52 = 1,260.74 : x
  2. Step 2: Convert to fraction form
    4,770.70/7,156.52 = 1,260.74/x
  3. Step 3: Cross multiply
    4,770.70x = 7,156.52 × 1,260.74
  4. Step 4: Simplify right side
    4,770.70x = 9,022,511.02
  5. Step 5: Solve for x
    x = 9,022,511.02/4,770.70
  6. Step 6: Final answer
    x = 1,891.23

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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.