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Finding the Fourth Proportional to 2,740.47, 3,777.03 and 2,182.79

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Solution

The fourth proportional to 2,740.47, 3,777.03 and 2,182.79 is: 3,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.47 : 3,777.03 = 2,182.79 : x
  2. Step 2: Convert to fraction form
    2,740.47/3,777.03 = 2,182.79/x
  3. Step 3: Cross multiply
    2,740.47x = 3,777.03 × 2,182.79
  4. Step 4: Simplify right side
    2,740.47x = 8,244,444.43
  5. Step 5: Solve for x
    x = 8,244,444.43/2,740.47
  6. Step 6: Final answer
    x = 3,008.41

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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.