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Finding the Fourth Proportional to 2,263.16, 3,391.20 and 1,914.88

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Solution

The fourth proportional to 2,263.16, 3,391.20 and 1,914.88 is: 2,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.16 : 3,391.20 = 1,914.88 : x
  2. Step 2: Convert to fraction form
    2,263.16/3,391.20 = 1,914.88/x
  3. Step 3: Cross multiply
    2,263.16x = 3,391.20 × 1,914.88
  4. Step 4: Simplify right side
    2,263.16x = 6,493,741.06
  5. Step 5: Solve for x
    x = 6,493,741.06/2,263.16
  6. Step 6: Final answer
    x = 2,869.32

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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.