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Finding the Fourth Proportional to 1,929.60, 2,893.41 and 630.90

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Solution

The fourth proportional to 1,929.60, 2,893.41 and 630.90 is: 946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.60 : 2,893.41 = 630.90 : x
  2. Step 2: Convert to fraction form
    1,929.60/2,893.41 = 630.90/x
  3. Step 3: Cross multiply
    1,929.60x = 2,893.41 × 630.90
  4. Step 4: Simplify right side
    1,929.60x = 1,825,452.37
  5. Step 5: Solve for x
    x = 1,825,452.37/1,929.60
  6. Step 6: Final answer
    x = 946.03

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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.