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Finding the Fourth Proportional to 2,442.77, 3,664.16 and 982.05

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Solution

The fourth proportional to 2,442.77, 3,664.16 and 982.05 is: 1,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.77 : 3,664.16 = 982.05 : x
  2. Step 2: Convert to fraction form
    2,442.77/3,664.16 = 982.05/x
  3. Step 3: Cross multiply
    2,442.77x = 3,664.16 × 982.05
  4. Step 4: Simplify right side
    2,442.77x = 3,598,388.33
  5. Step 5: Solve for x
    x = 3,598,388.33/2,442.77
  6. Step 6: Final answer
    x = 1,473.08

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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.