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Finding the Fourth Proportional to 2,698.14, 4,044.52 and 941.79

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Solution

The fourth proportional to 2,698.14, 4,044.52 and 941.79 is: 1,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.14 : 4,044.52 = 941.79 : x
  2. Step 2: Convert to fraction form
    2,698.14/4,044.52 = 941.79/x
  3. Step 3: Cross multiply
    2,698.14x = 4,044.52 × 941.79
  4. Step 4: Simplify right side
    2,698.14x = 3,809,065.41
  5. Step 5: Solve for x
    x = 3,809,065.41/2,698.14
  6. Step 6: Final answer
    x = 1,411.74

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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.