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Finding the Fourth Proportional to 2,967.16, 4,096.58 and 1,905.43

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Solution

The fourth proportional to 2,967.16, 4,096.58 and 1,905.43 is: 2,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.16 : 4,096.58 = 1,905.43 : x
  2. Step 2: Convert to fraction form
    2,967.16/4,096.58 = 1,905.43/x
  3. Step 3: Cross multiply
    2,967.16x = 4,096.58 × 1,905.43
  4. Step 4: Simplify right side
    2,967.16x = 7,805,746.43
  5. Step 5: Solve for x
    x = 7,805,746.43/2,967.16
  6. Step 6: Final answer
    x = 2,630.71

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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.