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Finding the Fourth Proportional to 2,442.84, 3,665.48 and 982.01

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Solution

The fourth proportional to 2,442.84, 3,665.48 and 982.01 is: 1,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.84 : 3,665.48 = 982.01 : x
  2. Step 2: Convert to fraction form
    2,442.84/3,665.48 = 982.01/x
  3. Step 3: Cross multiply
    2,442.84x = 3,665.48 × 982.01
  4. Step 4: Simplify right side
    2,442.84x = 3,599,514.78
  5. Step 5: Solve for x
    x = 3,599,514.78/2,442.84
  6. Step 6: Final answer
    x = 1,473.50

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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.