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Finding the Fourth Proportional to 1,967.08, 2,949.42 and 840.04

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Solution

The fourth proportional to 1,967.08, 2,949.42 and 840.04 is: 1,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.08 : 2,949.42 = 840.04 : x
  2. Step 2: Convert to fraction form
    1,967.08/2,949.42 = 840.04/x
  3. Step 3: Cross multiply
    1,967.08x = 2,949.42 × 840.04
  4. Step 4: Simplify right side
    1,967.08x = 2,477,630.78
  5. Step 5: Solve for x
    x = 2,477,630.78/1,967.08
  6. Step 6: Final answer
    x = 1,259.55

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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.