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Finding the Fourth Proportional to 2,460.77, 3,691.02 and 1,352.31

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Solution

The fourth proportional to 2,460.77, 3,691.02 and 1,352.31 is: 2,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.77 : 3,691.02 = 1,352.31 : x
  2. Step 2: Convert to fraction form
    2,460.77/3,691.02 = 1,352.31/x
  3. Step 3: Cross multiply
    2,460.77x = 3,691.02 × 1,352.31
  4. Step 4: Simplify right side
    2,460.77x = 4,991,403.26
  5. Step 5: Solve for x
    x = 4,991,403.26/2,460.77
  6. Step 6: Final answer
    x = 2,028.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.