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Finding the Fourth Proportional to 2,300.82, 3,451.60 and 914.16

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Solution

The fourth proportional to 2,300.82, 3,451.60 and 914.16 is: 1,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.82 : 3,451.60 = 914.16 : x
  2. Step 2: Convert to fraction form
    2,300.82/3,451.60 = 914.16/x
  3. Step 3: Cross multiply
    2,300.82x = 3,451.60 × 914.16
  4. Step 4: Simplify right side
    2,300.82x = 3,155,314.66
  5. Step 5: Solve for x
    x = 3,155,314.66/2,300.82
  6. Step 6: Final answer
    x = 1,371.39

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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.