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Finding the Fourth Proportional to 2,944.68, 4,412.16 and 1,971.08

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Solution

The fourth proportional to 2,944.68, 4,412.16 and 1,971.08 is: 2,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.68 : 4,412.16 = 1,971.08 : x
  2. Step 2: Convert to fraction form
    2,944.68/4,412.16 = 1,971.08/x
  3. Step 3: Cross multiply
    2,944.68x = 4,412.16 × 1,971.08
  4. Step 4: Simplify right side
    2,944.68x = 8,696,720.33
  5. Step 5: Solve for x
    x = 8,696,720.33/2,944.68
  6. Step 6: Final answer
    x = 2,953.37

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