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Finding the Fourth Proportional to 2,523.64, 3,463.96 and 2,237.64

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Solution

The fourth proportional to 2,523.64, 3,463.96 and 2,237.64 is: 3,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.64 : 3,463.96 = 2,237.64 : x
  2. Step 2: Convert to fraction form
    2,523.64/3,463.96 = 2,237.64/x
  3. Step 3: Cross multiply
    2,523.64x = 3,463.96 × 2,237.64
  4. Step 4: Simplify right side
    2,523.64x = 7,751,095.45
  5. Step 5: Solve for x
    x = 7,751,095.45/2,523.64
  6. Step 6: Final answer
    x = 3,071.40

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.