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Finding the Fourth Proportional to 2,705.84, 4,059.46 and 758.06

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Solution

The fourth proportional to 2,705.84, 4,059.46 and 758.06 is: 1,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.84 : 4,059.46 = 758.06 : x
  2. Step 2: Convert to fraction form
    2,705.84/4,059.46 = 758.06/x
  3. Step 3: Cross multiply
    2,705.84x = 4,059.46 × 758.06
  4. Step 4: Simplify right side
    2,705.84x = 3,077,314.25
  5. Step 5: Solve for x
    x = 3,077,314.25/2,705.84
  6. Step 6: Final answer
    x = 1,137.29

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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.