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Finding the Fourth Proportional to 2,967.04, 4,094.56 and 1,640.86

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Solution

The fourth proportional to 2,967.04, 4,094.56 and 1,640.86 is: 2,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.04 : 4,094.56 = 1,640.86 : x
  2. Step 2: Convert to fraction form
    2,967.04/4,094.56 = 1,640.86/x
  3. Step 3: Cross multiply
    2,967.04x = 4,094.56 × 1,640.86
  4. Step 4: Simplify right side
    2,967.04x = 6,718,599.72
  5. Step 5: Solve for x
    x = 6,718,599.72/2,967.04
  6. Step 6: Final answer
    x = 2,264.41

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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.