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Finding the Fourth Proportional to 1,928.79, 2,893.63 and 630.25

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Solution

The fourth proportional to 1,928.79, 2,893.63 and 630.25 is: 945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.79 : 2,893.63 = 630.25 : x
  2. Step 2: Convert to fraction form
    1,928.79/2,893.63 = 630.25/x
  3. Step 3: Cross multiply
    1,928.79x = 2,893.63 × 630.25
  4. Step 4: Simplify right side
    1,928.79x = 1,823,710.31
  5. Step 5: Solve for x
    x = 1,823,710.31/1,928.79
  6. Step 6: Final answer
    x = 945.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.