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Finding the Fourth Proportional to 1,970.14, 2,944.31 and 1,856.33

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Solution

The fourth proportional to 1,970.14, 2,944.31 and 1,856.33 is: 2,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.14 : 2,944.31 = 1,856.33 : x
  2. Step 2: Convert to fraction form
    1,970.14/2,944.31 = 1,856.33/x
  3. Step 3: Cross multiply
    1,970.14x = 2,944.31 × 1,856.33
  4. Step 4: Simplify right side
    1,970.14x = 5,465,610.98
  5. Step 5: Solve for x
    x = 5,465,610.98/1,970.14
  6. Step 6: Final answer
    x = 2,774.23

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