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Finding the Fourth Proportional to 1,955.88, 2,934.20 and 801.64

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Solution

The fourth proportional to 1,955.88, 2,934.20 and 801.64 is: 1,202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.88 : 2,934.20 = 801.64 : x
  2. Step 2: Convert to fraction form
    1,955.88/2,934.20 = 801.64/x
  3. Step 3: Cross multiply
    1,955.88x = 2,934.20 × 801.64
  4. Step 4: Simplify right side
    1,955.88x = 2,352,172.09
  5. Step 5: Solve for x
    x = 2,352,172.09/1,955.88
  6. Step 6: Final answer
    x = 1,202.62

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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.