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Finding the Fourth Proportional to 1,967.91, 2,953.69 and 994.69

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Solution

The fourth proportional to 1,967.91, 2,953.69 and 994.69 is: 1,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.91 : 2,953.69 = 994.69 : x
  2. Step 2: Convert to fraction form
    1,967.91/2,953.69 = 994.69/x
  3. Step 3: Cross multiply
    1,967.91x = 2,953.69 × 994.69
  4. Step 4: Simplify right side
    1,967.91x = 2,938,003.42
  5. Step 5: Solve for x
    x = 2,938,003.42/1,967.91
  6. Step 6: Final answer
    x = 1,492.96

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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.