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Finding the Fourth Proportional to 2,864.13, 3,952.49 and 1,685.89

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Solution

The fourth proportional to 2,864.13, 3,952.49 and 1,685.89 is: 2,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.13 : 3,952.49 = 1,685.89 : x
  2. Step 2: Convert to fraction form
    2,864.13/3,952.49 = 1,685.89/x
  3. Step 3: Cross multiply
    2,864.13x = 3,952.49 × 1,685.89
  4. Step 4: Simplify right side
    2,864.13x = 6,663,463.37
  5. Step 5: Solve for x
    x = 6,663,463.37/2,864.13
  6. Step 6: Final answer
    x = 2,326.52

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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.