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Finding the Fourth Proportional to 2,770.94, 4,153.07 and 1,210.27

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Solution

The fourth proportional to 2,770.94, 4,153.07 and 1,210.27 is: 1,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.94 : 4,153.07 = 1,210.27 : x
  2. Step 2: Convert to fraction form
    2,770.94/4,153.07 = 1,210.27/x
  3. Step 3: Cross multiply
    2,770.94x = 4,153.07 × 1,210.27
  4. Step 4: Simplify right side
    2,770.94x = 5,026,329.98
  5. Step 5: Solve for x
    x = 5,026,329.98/2,770.94
  6. Step 6: Final answer
    x = 1,813.95

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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.