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Finding the Fourth Proportional to 2,965.34, 4,448.15 and 991.14

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Solution

The fourth proportional to 2,965.34, 4,448.15 and 991.14 is: 1,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.34 : 4,448.15 = 991.14 : x
  2. Step 2: Convert to fraction form
    2,965.34/4,448.15 = 991.14/x
  3. Step 3: Cross multiply
    2,965.34x = 4,448.15 × 991.14
  4. Step 4: Simplify right side
    2,965.34x = 4,408,721.47
  5. Step 5: Solve for x
    x = 4,408,721.47/2,965.34
  6. Step 6: Final answer
    x = 1,486.75

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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.