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Finding the Fourth Proportional to 2,706.08, 4,059.41 and 1,320.17

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Solution

The fourth proportional to 2,706.08, 4,059.41 and 1,320.17 is: 1,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.08 : 4,059.41 = 1,320.17 : x
  2. Step 2: Convert to fraction form
    2,706.08/4,059.41 = 1,320.17/x
  3. Step 3: Cross multiply
    2,706.08x = 4,059.41 × 1,320.17
  4. Step 4: Simplify right side
    2,706.08x = 5,359,084.40
  5. Step 5: Solve for x
    x = 5,359,084.40/2,706.08
  6. Step 6: Final answer
    x = 1,980.39

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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.