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Finding the Fourth Proportional to 1,448.96, 1,982.45 and 1,442.84

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Solution

The fourth proportional to 1,448.96, 1,982.45 and 1,442.84 is: 1,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.96 : 1,982.45 = 1,442.84 : x
  2. Step 2: Convert to fraction form
    1,448.96/1,982.45 = 1,442.84/x
  3. Step 3: Cross multiply
    1,448.96x = 1,982.45 × 1,442.84
  4. Step 4: Simplify right side
    1,448.96x = 2,860,358.16
  5. Step 5: Solve for x
    x = 2,860,358.16/1,448.96
  6. Step 6: Final answer
    x = 1,974.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.