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Finding the Fourth Proportional to 2,376.25, 3,562.33 and 914.41

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Solution

The fourth proportional to 2,376.25, 3,562.33 and 914.41 is: 1,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.25 : 3,562.33 = 914.41 : x
  2. Step 2: Convert to fraction form
    2,376.25/3,562.33 = 914.41/x
  3. Step 3: Cross multiply
    2,376.25x = 3,562.33 × 914.41
  4. Step 4: Simplify right side
    2,376.25x = 3,257,430.18
  5. Step 5: Solve for x
    x = 3,257,430.18/2,376.25
  6. Step 6: Final answer
    x = 1,370.83

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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.