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Finding the Fourth Proportional to 2,864.65, 3,952.64 and 1,686.10

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Solution

The fourth proportional to 2,864.65, 3,952.64 and 1,686.10 is: 2,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.65 : 3,952.64 = 1,686.10 : x
  2. Step 2: Convert to fraction form
    2,864.65/3,952.64 = 1,686.10/x
  3. Step 3: Cross multiply
    2,864.65x = 3,952.64 × 1,686.10
  4. Step 4: Simplify right side
    2,864.65x = 6,664,546.30
  5. Step 5: Solve for x
    x = 6,664,546.30/2,864.65
  6. Step 6: Final answer
    x = 2,326.48

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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.