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Finding the Fourth Proportional to 2,469.52, 3,400.50 and 2,048.32

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Solution

The fourth proportional to 2,469.52, 3,400.50 and 2,048.32 is: 2,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.52 : 3,400.50 = 2,048.32 : x
  2. Step 2: Convert to fraction form
    2,469.52/3,400.50 = 2,048.32/x
  3. Step 3: Cross multiply
    2,469.52x = 3,400.50 × 2,048.32
  4. Step 4: Simplify right side
    2,469.52x = 6,965,312.16
  5. Step 5: Solve for x
    x = 6,965,312.16/2,469.52
  6. Step 6: Final answer
    x = 2,820.51

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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.