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Finding the Fourth Proportional to 2,010.81, 2,774.94 and 1,214.19

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Solution

The fourth proportional to 2,010.81, 2,774.94 and 1,214.19 is: 1,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.81 : 2,774.94 = 1,214.19 : x
  2. Step 2: Convert to fraction form
    2,010.81/2,774.94 = 1,214.19/x
  3. Step 3: Cross multiply
    2,010.81x = 2,774.94 × 1,214.19
  4. Step 4: Simplify right side
    2,010.81x = 3,369,304.40
  5. Step 5: Solve for x
    x = 3,369,304.40/2,010.81
  6. Step 6: Final answer
    x = 1,675.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.