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Finding the Fourth Proportional to 2,892.70, 4,336.42 and 1,043.39

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Solution

The fourth proportional to 2,892.70, 4,336.42 and 1,043.39 is: 1,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.70 : 4,336.42 = 1,043.39 : x
  2. Step 2: Convert to fraction form
    2,892.70/4,336.42 = 1,043.39/x
  3. Step 3: Cross multiply
    2,892.70x = 4,336.42 × 1,043.39
  4. Step 4: Simplify right side
    2,892.70x = 4,524,577.26
  5. Step 5: Solve for x
    x = 4,524,577.26/2,892.70
  6. Step 6: Final answer
    x = 1,564.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.