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Finding the Fourth Proportional to 2,362.52, 3,540.86 and 974.98

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Solution

The fourth proportional to 2,362.52, 3,540.86 and 974.98 is: 1,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.52 : 3,540.86 = 974.98 : x
  2. Step 2: Convert to fraction form
    2,362.52/3,540.86 = 974.98/x
  3. Step 3: Cross multiply
    2,362.52x = 3,540.86 × 974.98
  4. Step 4: Simplify right side
    2,362.52x = 3,452,267.68
  5. Step 5: Solve for x
    x = 3,452,267.68/2,362.52
  6. Step 6: Final answer
    x = 1,461.26

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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.