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Finding the Fourth Proportional to 2,972.64, 4,101.75 and 1,910.64

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Solution

The fourth proportional to 2,972.64, 4,101.75 and 1,910.64 is: 2,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.64 : 4,101.75 = 1,910.64 : x
  2. Step 2: Convert to fraction form
    2,972.64/4,101.75 = 1,910.64/x
  3. Step 3: Cross multiply
    2,972.64x = 4,101.75 × 1,910.64
  4. Step 4: Simplify right side
    2,972.64x = 7,836,967.62
  5. Step 5: Solve for x
    x = 7,836,967.62/2,972.64
  6. Step 6: Final answer
    x = 2,636.37

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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.