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Finding the Fourth Proportional to 3,068.84, 4,234.86 and 1,706.02

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Solution

The fourth proportional to 3,068.84, 4,234.86 and 1,706.02 is: 2,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.84 : 4,234.86 = 1,706.02 : x
  2. Step 2: Convert to fraction form
    3,068.84/4,234.86 = 1,706.02/x
  3. Step 3: Cross multiply
    3,068.84x = 4,234.86 × 1,706.02
  4. Step 4: Simplify right side
    3,068.84x = 7,224,745.27
  5. Step 5: Solve for x
    x = 7,224,745.27/3,068.84
  6. Step 6: Final answer
    x = 2,354.22

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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.