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Finding the Fourth Proportional to 2,706.58, 4,059.28 and 857.84

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Solution

The fourth proportional to 2,706.58, 4,059.28 and 857.84 is: 1,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.58 : 4,059.28 = 857.84 : x
  2. Step 2: Convert to fraction form
    2,706.58/4,059.28 = 857.84/x
  3. Step 3: Cross multiply
    2,706.58x = 4,059.28 × 857.84
  4. Step 4: Simplify right side
    2,706.58x = 3,482,212.76
  5. Step 5: Solve for x
    x = 3,482,212.76/2,706.58
  6. Step 6: Final answer
    x = 1,286.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.