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Finding the Fourth Proportional to 2,865.84, 3,954.66 and 1,686.69

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Solution

The fourth proportional to 2,865.84, 3,954.66 and 1,686.69 is: 2,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.84 : 3,954.66 = 1,686.69 : x
  2. Step 2: Convert to fraction form
    2,865.84/3,954.66 = 1,686.69/x
  3. Step 3: Cross multiply
    2,865.84x = 3,954.66 × 1,686.69
  4. Step 4: Simplify right side
    2,865.84x = 6,670,285.48
  5. Step 5: Solve for x
    x = 6,670,285.48/2,865.84
  6. Step 6: Final answer
    x = 2,327.51

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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.