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Finding the Fourth Proportional to 2,009.17, 3,013.41 and 547.98

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Solution

The fourth proportional to 2,009.17, 3,013.41 and 547.98 is: 821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.17 : 3,013.41 = 547.98 : x
  2. Step 2: Convert to fraction form
    2,009.17/3,013.41 = 547.98/x
  3. Step 3: Cross multiply
    2,009.17x = 3,013.41 × 547.98
  4. Step 4: Simplify right side
    2,009.17x = 1,651,288.41
  5. Step 5: Solve for x
    x = 1,651,288.41/2,009.17
  6. Step 6: Final answer
    x = 821.88

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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.