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Finding the Fourth Proportional to 2,865.03, 3,953.66 and 1,686.17

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Solution

The fourth proportional to 2,865.03, 3,953.66 and 1,686.17 is: 2,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.03 : 3,953.66 = 1,686.17 : x
  2. Step 2: Convert to fraction form
    2,865.03/3,953.66 = 1,686.17/x
  3. Step 3: Cross multiply
    2,865.03x = 3,953.66 × 1,686.17
  4. Step 4: Simplify right side
    2,865.03x = 6,666,542.88
  5. Step 5: Solve for x
    x = 6,666,542.88/2,865.03
  6. Step 6: Final answer
    x = 2,326.87

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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.