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Finding the Fourth Proportional to 2,376.15, 3,564.83 and 914.91

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Solution

The fourth proportional to 2,376.15, 3,564.83 and 914.91 is: 1,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.15 : 3,564.83 = 914.91 : x
  2. Step 2: Convert to fraction form
    2,376.15/3,564.83 = 914.91/x
  3. Step 3: Cross multiply
    2,376.15x = 3,564.83 × 914.91
  4. Step 4: Simplify right side
    2,376.15x = 3,261,500.90
  5. Step 5: Solve for x
    x = 3,261,500.90/2,376.15
  6. Step 6: Final answer
    x = 1,372.60

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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.