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Finding the Fourth Proportional to 2,972.14, 4,101.06 and 1,910.14

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Solution

The fourth proportional to 2,972.14, 4,101.06 and 1,910.14 is: 2,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.14 : 4,101.06 = 1,910.14 : x
  2. Step 2: Convert to fraction form
    2,972.14/4,101.06 = 1,910.14/x
  3. Step 3: Cross multiply
    2,972.14x = 4,101.06 × 1,910.14
  4. Step 4: Simplify right side
    2,972.14x = 7,833,598.75
  5. Step 5: Solve for x
    x = 7,833,598.75/2,972.14
  6. Step 6: Final answer
    x = 2,635.68

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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.