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Finding the Fourth Proportional to 2,140.82, 3,214.11 and 1,216.94

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Solution

The fourth proportional to 2,140.82, 3,214.11 and 1,216.94 is: 1,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.82 : 3,214.11 = 1,216.94 : x
  2. Step 2: Convert to fraction form
    2,140.82/3,214.11 = 1,216.94/x
  3. Step 3: Cross multiply
    2,140.82x = 3,214.11 × 1,216.94
  4. Step 4: Simplify right side
    2,140.82x = 3,911,379.02
  5. Step 5: Solve for x
    x = 3,911,379.02/2,140.82
  6. Step 6: Final answer
    x = 1,827.05

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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.