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Finding the Fourth Proportional to 2,892.42, 4,316.94 and 2,661.54

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Solution

The fourth proportional to 2,892.42, 4,316.94 and 2,661.54 is: 3,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.42 : 4,316.94 = 2,661.54 : x
  2. Step 2: Convert to fraction form
    2,892.42/4,316.94 = 2,661.54/x
  3. Step 3: Cross multiply
    2,892.42x = 4,316.94 × 2,661.54
  4. Step 4: Simplify right side
    2,892.42x = 11,489,708.49
  5. Step 5: Solve for x
    x = 11,489,708.49/2,892.42
  6. Step 6: Final answer
    x = 3,972.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.