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Finding the Fourth Proportional to 2,286.50, 3,153.05 and 1,865.50

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Solution

The fourth proportional to 2,286.50, 3,153.05 and 1,865.50 is: 2,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.50 : 3,153.05 = 1,865.50 : x
  2. Step 2: Convert to fraction form
    2,286.50/3,153.05 = 1,865.50/x
  3. Step 3: Cross multiply
    2,286.50x = 3,153.05 × 1,865.50
  4. Step 4: Simplify right side
    2,286.50x = 5,881,999.01
  5. Step 5: Solve for x
    x = 5,881,999.01/2,286.50
  6. Step 6: Final answer
    x = 2,572.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.