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Finding the Fourth Proportional to 1,969.16, 2,951.46 and 929.43

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Solution

The fourth proportional to 1,969.16, 2,951.46 and 929.43 is: 1,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.16 : 2,951.46 = 929.43 : x
  2. Step 2: Convert to fraction form
    1,969.16/2,951.46 = 929.43/x
  3. Step 3: Cross multiply
    1,969.16x = 2,951.46 × 929.43
  4. Step 4: Simplify right side
    1,969.16x = 2,743,175.47
  5. Step 5: Solve for x
    x = 2,743,175.47/1,969.16
  6. Step 6: Final answer
    x = 1,393.07

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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.