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Finding the Fourth Proportional to 1,685.84, 2,327.28 and 1,392.80

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Solution

The fourth proportional to 1,685.84, 2,327.28 and 1,392.80 is: 1,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.84 : 2,327.28 = 1,392.80 : x
  2. Step 2: Convert to fraction form
    1,685.84/2,327.28 = 1,392.80/x
  3. Step 3: Cross multiply
    1,685.84x = 2,327.28 × 1,392.80
  4. Step 4: Simplify right side
    1,685.84x = 3,241,435.58
  5. Step 5: Solve for x
    x = 3,241,435.58/1,685.84
  6. Step 6: Final answer
    x = 1,922.74

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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.