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Finding the Fourth Proportional to 2,734.14, 4,099.14 and 978.06

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Solution

The fourth proportional to 2,734.14, 4,099.14 and 978.06 is: 1,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.14 : 4,099.14 = 978.06 : x
  2. Step 2: Convert to fraction form
    2,734.14/4,099.14 = 978.06/x
  3. Step 3: Cross multiply
    2,734.14x = 4,099.14 × 978.06
  4. Step 4: Simplify right side
    2,734.14x = 4,009,204.87
  5. Step 5: Solve for x
    x = 4,009,204.87/2,734.14
  6. Step 6: Final answer
    x = 1,466.35

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Why These Related Problems?

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