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Finding the Fourth Proportional to 2,410.14, 3,615.22 and 1,972.74

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Solution

The fourth proportional to 2,410.14, 3,615.22 and 1,972.74 is: 2,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.14 : 3,615.22 = 1,972.74 : x
  2. Step 2: Convert to fraction form
    2,410.14/3,615.22 = 1,972.74/x
  3. Step 3: Cross multiply
    2,410.14x = 3,615.22 × 1,972.74
  4. Step 4: Simplify right side
    2,410.14x = 7,131,889.10
  5. Step 5: Solve for x
    x = 7,131,889.10/2,410.14
  6. Step 6: Final answer
    x = 2,959.12

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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.