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Finding the Fourth Proportional to 4,616.97, 6,924.33 and 1,695.51

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Solution

The fourth proportional to 4,616.97, 6,924.33 and 1,695.51 is: 2,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.97 : 6,924.33 = 1,695.51 : x
  2. Step 2: Convert to fraction form
    4,616.97/6,924.33 = 1,695.51/x
  3. Step 3: Cross multiply
    4,616.97x = 6,924.33 × 1,695.51
  4. Step 4: Simplify right side
    4,616.97x = 11,740,270.76
  5. Step 5: Solve for x
    x = 11,740,270.76/4,616.97
  6. Step 6: Final answer
    x = 2,542.85

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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.