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Finding the Fourth Proportional to 2,327.36, 3,486.56 and 1,448

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Solution

The fourth proportional to 2,327.36, 3,486.56 and 1,448 is: 2,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.36 : 3,486.56 = 1,448 : x
  2. Step 2: Convert to fraction form
    2,327.36/3,486.56 = 1,448/x
  3. Step 3: Cross multiply
    2,327.36x = 3,486.56 × 1,448
  4. Step 4: Simplify right side
    2,327.36x = 5,048,538.88
  5. Step 5: Solve for x
    x = 5,048,538.88/2,327.36
  6. Step 6: Final answer
    x = 2,169.21

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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.