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Finding the Fourth Proportional to 1,928.91, 2,893.65 and 630.07

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Solution

The fourth proportional to 1,928.91, 2,893.65 and 630.07 is: 945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.91 : 2,893.65 = 630.07 : x
  2. Step 2: Convert to fraction form
    1,928.91/2,893.65 = 630.07/x
  3. Step 3: Cross multiply
    1,928.91x = 2,893.65 × 630.07
  4. Step 4: Simplify right side
    1,928.91x = 1,823,202.06
  5. Step 5: Solve for x
    x = 1,823,202.06/1,928.91
  6. Step 6: Final answer
    x = 945.20

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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.