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Finding the Fourth Proportional to 2,442.46, 3,666.12 and 1,662.52

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Solution

The fourth proportional to 2,442.46, 3,666.12 and 1,662.52 is: 2,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.46 : 3,666.12 = 1,662.52 : x
  2. Step 2: Convert to fraction form
    2,442.46/3,666.12 = 1,662.52/x
  3. Step 3: Cross multiply
    2,442.46x = 3,666.12 × 1,662.52
  4. Step 4: Simplify right side
    2,442.46x = 6,094,997.82
  5. Step 5: Solve for x
    x = 6,094,997.82/2,442.46
  6. Step 6: Final answer
    x = 2,495.43

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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.