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Finding the Fourth Proportional to 2,513.70, 3,770.86 and 1,214.26

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Solution

The fourth proportional to 2,513.70, 3,770.86 and 1,214.26 is: 1,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.70 : 3,770.86 = 1,214.26 : x
  2. Step 2: Convert to fraction form
    2,513.70/3,770.86 = 1,214.26/x
  3. Step 3: Cross multiply
    2,513.70x = 3,770.86 × 1,214.26
  4. Step 4: Simplify right side
    2,513.70x = 4,578,804.46
  5. Step 5: Solve for x
    x = 4,578,804.46/2,513.70
  6. Step 6: Final answer
    x = 1,821.54

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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.