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Finding the Fourth Proportional to 2,448.53, 3,381.65 and 2,132.33

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Solution

The fourth proportional to 2,448.53, 3,381.65 and 2,132.33 is: 2,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.53 : 3,381.65 = 2,132.33 : x
  2. Step 2: Convert to fraction form
    2,448.53/3,381.65 = 2,132.33/x
  3. Step 3: Cross multiply
    2,448.53x = 3,381.65 × 2,132.33
  4. Step 4: Simplify right side
    2,448.53x = 7,210,774.17
  5. Step 5: Solve for x
    x = 7,210,774.17/2,448.53
  6. Step 6: Final answer
    x = 2,944.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.