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Finding the Fourth Proportional to 2,140.14, 3,208.34 and 841.34

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Solution

The fourth proportional to 2,140.14, 3,208.34 and 841.34 is: 1,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.14 : 3,208.34 = 841.34 : x
  2. Step 2: Convert to fraction form
    2,140.14/3,208.34 = 841.34/x
  3. Step 3: Cross multiply
    2,140.14x = 3,208.34 × 841.34
  4. Step 4: Simplify right side
    2,140.14x = 2,699,304.78
  5. Step 5: Solve for x
    x = 2,699,304.78/2,140.14
  6. Step 6: Final answer
    x = 1,261.27

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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.