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Finding the Fourth Proportional to 2,972, 4,100.37 and 1,836.46

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Solution

The fourth proportional to 2,972, 4,100.37 and 1,836.46 is: 2,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972 : 4,100.37 = 1,836.46 : x
  2. Step 2: Convert to fraction form
    2,972/4,100.37 = 1,836.46/x
  3. Step 3: Cross multiply
    2,972x = 4,100.37 × 1,836.46
  4. Step 4: Simplify right side
    2,972x = 7,530,135.81
  5. Step 5: Solve for x
    x = 7,530,135.81/2,972
  6. Step 6: Final answer
    x = 2,533.69

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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.