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Finding the Fourth Proportional to 2,736.48, 4,092.52 and 2,430.32

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Solution

The fourth proportional to 2,736.48, 4,092.52 and 2,430.32 is: 3,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.48 : 4,092.52 = 2,430.32 : x
  2. Step 2: Convert to fraction form
    2,736.48/4,092.52 = 2,430.32/x
  3. Step 3: Cross multiply
    2,736.48x = 4,092.52 × 2,430.32
  4. Step 4: Simplify right side
    2,736.48x = 9,946,133.21
  5. Step 5: Solve for x
    x = 9,946,133.21/2,736.48
  6. Step 6: Final answer
    x = 3,634.64

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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.