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Finding the Fourth Proportional to 2,442.75, 3,664.59 and 982.02

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Solution

The fourth proportional to 2,442.75, 3,664.59 and 982.02 is: 1,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.75 : 3,664.59 = 982.02 : x
  2. Step 2: Convert to fraction form
    2,442.75/3,664.59 = 982.02/x
  3. Step 3: Cross multiply
    2,442.75x = 3,664.59 × 982.02
  4. Step 4: Simplify right side
    2,442.75x = 3,598,700.67
  5. Step 5: Solve for x
    x = 3,598,700.67/2,442.75
  6. Step 6: Final answer
    x = 1,473.22

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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.