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Finding the Fourth Proportional to 2,009.33, 3,014.94 and 840.17

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Solution

The fourth proportional to 2,009.33, 3,014.94 and 840.17 is: 1,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.33 : 3,014.94 = 840.17 : x
  2. Step 2: Convert to fraction form
    2,009.33/3,014.94 = 840.17/x
  3. Step 3: Cross multiply
    2,009.33x = 3,014.94 × 840.17
  4. Step 4: Simplify right side
    2,009.33x = 2,533,062.14
  5. Step 5: Solve for x
    x = 2,533,062.14/2,009.33
  6. Step 6: Final answer
    x = 1,260.65

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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.