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Finding the Fourth Proportional to 2,706.04, 4,059.78 and 1,319.32

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Solution

The fourth proportional to 2,706.04, 4,059.78 and 1,319.32 is: 1,979.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.04 : 4,059.78 = 1,319.32 : x
  2. Step 2: Convert to fraction form
    2,706.04/4,059.78 = 1,319.32/x
  3. Step 3: Cross multiply
    2,706.04x = 4,059.78 × 1,319.32
  4. Step 4: Simplify right side
    2,706.04x = 5,356,148.95
  5. Step 5: Solve for x
    x = 5,356,148.95/2,706.04
  6. Step 6: Final answer
    x = 1,979.33

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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.