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Finding the Fourth Proportional to 1,901.95, 2,852.89 and 976.97

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Solution

The fourth proportional to 1,901.95, 2,852.89 and 976.97 is: 1,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.95 : 2,852.89 = 976.97 : x
  2. Step 2: Convert to fraction form
    1,901.95/2,852.89 = 976.97/x
  3. Step 3: Cross multiply
    1,901.95x = 2,852.89 × 976.97
  4. Step 4: Simplify right side
    1,901.95x = 2,787,173.68
  5. Step 5: Solve for x
    x = 2,787,173.68/1,901.95
  6. Step 6: Final answer
    x = 1,465.43

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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.