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Finding the Fourth Proportional to 2,914.98, 4,021.52 and 1,920.74

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Solution

The fourth proportional to 2,914.98, 4,021.52 and 1,920.74 is: 2,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.98 : 4,021.52 = 1,920.74 : x
  2. Step 2: Convert to fraction form
    2,914.98/4,021.52 = 1,920.74/x
  3. Step 3: Cross multiply
    2,914.98x = 4,021.52 × 1,920.74
  4. Step 4: Simplify right side
    2,914.98x = 7,724,294.32
  5. Step 5: Solve for x
    x = 7,724,294.32/2,914.98
  6. Step 6: Final answer
    x = 2,649.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.