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Finding the Fourth Proportional to 2,865.44, 3,953.94 and 1,686.08

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Solution

The fourth proportional to 2,865.44, 3,953.94 and 1,686.08 is: 2,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.44 : 3,953.94 = 1,686.08 : x
  2. Step 2: Convert to fraction form
    2,865.44/3,953.94 = 1,686.08/x
  3. Step 3: Cross multiply
    2,865.44x = 3,953.94 × 1,686.08
  4. Step 4: Simplify right side
    2,865.44x = 6,666,659.16
  5. Step 5: Solve for x
    x = 6,666,659.16/2,865.44
  6. Step 6: Final answer
    x = 2,326.57

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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.