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Finding the Fourth Proportional to 2,140.77, 2,955.57 and 2,008.41

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Solution

The fourth proportional to 2,140.77, 2,955.57 and 2,008.41 is: 2,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.77 : 2,955.57 = 2,008.41 : x
  2. Step 2: Convert to fraction form
    2,140.77/2,955.57 = 2,008.41/x
  3. Step 3: Cross multiply
    2,140.77x = 2,955.57 × 2,008.41
  4. Step 4: Simplify right side
    2,140.77x = 5,935,996.34
  5. Step 5: Solve for x
    x = 5,935,996.34/2,140.77
  6. Step 6: Final answer
    x = 2,772.83

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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.