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Finding the Fourth Proportional to 2,351.14, 3,523.60 and 1,253.14

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Solution

The fourth proportional to 2,351.14, 3,523.60 and 1,253.14 is: 1,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.14 : 3,523.60 = 1,253.14 : x
  2. Step 2: Convert to fraction form
    2,351.14/3,523.60 = 1,253.14/x
  3. Step 3: Cross multiply
    2,351.14x = 3,523.60 × 1,253.14
  4. Step 4: Simplify right side
    2,351.14x = 4,415,564.10
  5. Step 5: Solve for x
    x = 4,415,564.10/2,351.14
  6. Step 6: Final answer
    x = 1,878.05

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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.