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Finding the Fourth Proportional to 2,337.72, 3,223.50 and 2,283.96

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Solution

The fourth proportional to 2,337.72, 3,223.50 and 2,283.96 is: 3,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.72 : 3,223.50 = 2,283.96 : x
  2. Step 2: Convert to fraction form
    2,337.72/3,223.50 = 2,283.96/x
  3. Step 3: Cross multiply
    2,337.72x = 3,223.50 × 2,283.96
  4. Step 4: Simplify right side
    2,337.72x = 7,362,345.06
  5. Step 5: Solve for x
    x = 7,362,345.06/2,337.72
  6. Step 6: Final answer
    x = 3,149.37

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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.