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Finding the Fourth Proportional to 1,955.97, 2,933.97 and 657.45

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Solution

The fourth proportional to 1,955.97, 2,933.97 and 657.45 is: 986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.97 : 2,933.97 = 657.45 : x
  2. Step 2: Convert to fraction form
    1,955.97/2,933.97 = 657.45/x
  3. Step 3: Cross multiply
    1,955.97x = 2,933.97 × 657.45
  4. Step 4: Simplify right side
    1,955.97x = 1,928,938.58
  5. Step 5: Solve for x
    x = 1,928,938.58/1,955.97
  6. Step 6: Final answer
    x = 986.18

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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.