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Finding the Fourth Proportional to 2,014.25, 3,005.02 and 1,905.26

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Solution

The fourth proportional to 2,014.25, 3,005.02 and 1,905.26 is: 2,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.25 : 3,005.02 = 1,905.26 : x
  2. Step 2: Convert to fraction form
    2,014.25/3,005.02 = 1,905.26/x
  3. Step 3: Cross multiply
    2,014.25x = 3,005.02 × 1,905.26
  4. Step 4: Simplify right side
    2,014.25x = 5,725,341.76
  5. Step 5: Solve for x
    x = 5,725,341.76/2,014.25
  6. Step 6: Final answer
    x = 2,842.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.