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Finding the Fourth Proportional to 2,972.70, 4,102.65 and 1,794.42

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Solution

The fourth proportional to 2,972.70, 4,102.65 and 1,794.42 is: 2,476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.70 : 4,102.65 = 1,794.42 : x
  2. Step 2: Convert to fraction form
    2,972.70/4,102.65 = 1,794.42/x
  3. Step 3: Cross multiply
    2,972.70x = 4,102.65 × 1,794.42
  4. Step 4: Simplify right side
    2,972.70x = 7,361,877.21
  5. Step 5: Solve for x
    x = 7,361,877.21/2,972.70
  6. Step 6: Final answer
    x = 2,476.50

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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.