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Finding the Fourth Proportional to 2,827.85, 4,240.74 and 978.45

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Solution

The fourth proportional to 2,827.85, 4,240.74 and 978.45 is: 1,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.85 : 4,240.74 = 978.45 : x
  2. Step 2: Convert to fraction form
    2,827.85/4,240.74 = 978.45/x
  3. Step 3: Cross multiply
    2,827.85x = 4,240.74 × 978.45
  4. Step 4: Simplify right side
    2,827.85x = 4,149,352.05
  5. Step 5: Solve for x
    x = 4,149,352.05/2,827.85
  6. Step 6: Final answer
    x = 1,467.32

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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.