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Finding the Fourth Proportional to 1,394.90, 1,922.72 and 946.63

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Solution

The fourth proportional to 1,394.90, 1,922.72 and 946.63 is: 1,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.90 : 1,922.72 = 946.63 : x
  2. Step 2: Convert to fraction form
    1,394.90/1,922.72 = 946.63/x
  3. Step 3: Cross multiply
    1,394.90x = 1,922.72 × 946.63
  4. Step 4: Simplify right side
    1,394.90x = 1,820,102.10
  5. Step 5: Solve for x
    x = 1,820,102.10/1,394.90
  6. Step 6: Final answer
    x = 1,304.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.