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Finding the Fourth Proportional to 1,967.94, 2,953.73 and 994.72

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Solution

The fourth proportional to 1,967.94, 2,953.73 and 994.72 is: 1,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.94 : 2,953.73 = 994.72 : x
  2. Step 2: Convert to fraction form
    1,967.94/2,953.73 = 994.72/x
  3. Step 3: Cross multiply
    1,967.94x = 2,953.73 × 994.72
  4. Step 4: Simplify right side
    1,967.94x = 2,938,134.31
  5. Step 5: Solve for x
    x = 2,938,134.31/1,967.94
  6. Step 6: Final answer
    x = 1,493.00

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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.