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Finding the Fourth Proportional to 2,864.46, 3,952.08 and 1,685.91

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Solution

The fourth proportional to 2,864.46, 3,952.08 and 1,685.91 is: 2,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.46 : 3,952.08 = 1,685.91 : x
  2. Step 2: Convert to fraction form
    2,864.46/3,952.08 = 1,685.91/x
  3. Step 3: Cross multiply
    2,864.46x = 3,952.08 × 1,685.91
  4. Step 4: Simplify right side
    2,864.46x = 6,662,851.19
  5. Step 5: Solve for x
    x = 6,662,851.19/2,864.46
  6. Step 6: Final answer
    x = 2,326.04

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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.