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Finding the Fourth Proportional to 2,009.76, 3,014.71 and 622.97

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Solution

The fourth proportional to 2,009.76, 3,014.71 and 622.97 is: 934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.76 : 3,014.71 = 622.97 : x
  2. Step 2: Convert to fraction form
    2,009.76/3,014.71 = 622.97/x
  3. Step 3: Cross multiply
    2,009.76x = 3,014.71 × 622.97
  4. Step 4: Simplify right side
    2,009.76x = 1,878,073.89
  5. Step 5: Solve for x
    x = 1,878,073.89/2,009.76
  6. Step 6: Final answer
    x = 934.48

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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.