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Finding the Fourth Proportional to 2,864.93, 3,953.48 and 1,669.97

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Solution

The fourth proportional to 2,864.93, 3,953.48 and 1,669.97 is: 2,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.93 : 3,953.48 = 1,669.97 : x
  2. Step 2: Convert to fraction form
    2,864.93/3,953.48 = 1,669.97/x
  3. Step 3: Cross multiply
    2,864.93x = 3,953.48 × 1,669.97
  4. Step 4: Simplify right side
    2,864.93x = 6,602,164.88
  5. Step 5: Solve for x
    x = 6,602,164.88/2,864.93
  6. Step 6: Final answer
    x = 2,304.48

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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.