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Finding the Fourth Proportional to 2,864.78, 3,953.31 and 1,685.93

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Solution

The fourth proportional to 2,864.78, 3,953.31 and 1,685.93 is: 2,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.78 : 3,953.31 = 1,685.93 : x
  2. Step 2: Convert to fraction form
    2,864.78/3,953.31 = 1,685.93/x
  3. Step 3: Cross multiply
    2,864.78x = 3,953.31 × 1,685.93
  4. Step 4: Simplify right side
    2,864.78x = 6,664,984.16
  5. Step 5: Solve for x
    x = 6,664,984.16/2,864.78
  6. Step 6: Final answer
    x = 2,326.53

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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.