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Finding the Fourth Proportional to 2,967.54, 4,093.08 and 1,972.32

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Solution

The fourth proportional to 2,967.54, 4,093.08 and 1,972.32 is: 2,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.54 : 4,093.08 = 1,972.32 : x
  2. Step 2: Convert to fraction form
    2,967.54/4,093.08 = 1,972.32/x
  3. Step 3: Cross multiply
    2,967.54x = 4,093.08 × 1,972.32
  4. Step 4: Simplify right side
    2,967.54x = 8,072,863.55
  5. Step 5: Solve for x
    x = 8,072,863.55/2,967.54
  6. Step 6: Final answer
    x = 2,720.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.