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Finding the Fourth Proportional to 2,733.93, 4,102.85 and 978.93

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Solution

The fourth proportional to 2,733.93, 4,102.85 and 978.93 is: 1,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.93 : 4,102.85 = 978.93 : x
  2. Step 2: Convert to fraction form
    2,733.93/4,102.85 = 978.93/x
  3. Step 3: Cross multiply
    2,733.93x = 4,102.85 × 978.93
  4. Step 4: Simplify right side
    2,733.93x = 4,016,405.40
  5. Step 5: Solve for x
    x = 4,016,405.40/2,733.93
  6. Step 6: Final answer
    x = 1,469.10

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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.