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Finding the Fourth Proportional to 2,967.01, 4,094.12 and 1,640.72

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Solution

The fourth proportional to 2,967.01, 4,094.12 and 1,640.72 is: 2,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.01 : 4,094.12 = 1,640.72 : x
  2. Step 2: Convert to fraction form
    2,967.01/4,094.12 = 1,640.72/x
  3. Step 3: Cross multiply
    2,967.01x = 4,094.12 × 1,640.72
  4. Step 4: Simplify right side
    2,967.01x = 6,717,318.90
  5. Step 5: Solve for x
    x = 6,717,318.90/2,967.01
  6. Step 6: Final answer
    x = 2,264.00

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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.