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Finding the Fourth Proportional to 2,009.83, 3,014.89 and 622.99

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Solution

The fourth proportional to 2,009.83, 3,014.89 and 622.99 is: 934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.83 : 3,014.89 = 622.99 : x
  2. Step 2: Convert to fraction form
    2,009.83/3,014.89 = 622.99/x
  3. Step 3: Cross multiply
    2,009.83x = 3,014.89 × 622.99
  4. Step 4: Simplify right side
    2,009.83x = 1,878,246.32
  5. Step 5: Solve for x
    x = 1,878,246.32/2,009.83
  6. Step 6: Final answer
    x = 934.53

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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.