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Finding the Fourth Proportional to 1,955.22, 2,933.64 and 801.78

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Solution

The fourth proportional to 1,955.22, 2,933.64 and 801.78 is: 1,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.22 : 2,933.64 = 801.78 : x
  2. Step 2: Convert to fraction form
    1,955.22/2,933.64 = 801.78/x
  3. Step 3: Cross multiply
    1,955.22x = 2,933.64 × 801.78
  4. Step 4: Simplify right side
    1,955.22x = 2,352,133.88
  5. Step 5: Solve for x
    x = 2,352,133.88/1,955.22
  6. Step 6: Final answer
    x = 1,203.00

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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.