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Finding the Fourth Proportional to 2,966.44, 4,444.54 and 1,965.16

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Solution

The fourth proportional to 2,966.44, 4,444.54 and 1,965.16 is: 2,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.44 : 4,444.54 = 1,965.16 : x
  2. Step 2: Convert to fraction form
    2,966.44/4,444.54 = 1,965.16/x
  3. Step 3: Cross multiply
    2,966.44x = 4,444.54 × 1,965.16
  4. Step 4: Simplify right side
    2,966.44x = 8,734,239.31
  5. Step 5: Solve for x
    x = 8,734,239.31/2,966.44
  6. Step 6: Final answer
    x = 2,944.35

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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.