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Finding the Fourth Proportional to 1,930.92, 2,896.70 and 632.44

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Solution

The fourth proportional to 1,930.92, 2,896.70 and 632.44 is: 948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.92 : 2,896.70 = 632.44 : x
  2. Step 2: Convert to fraction form
    1,930.92/2,896.70 = 632.44/x
  3. Step 3: Cross multiply
    1,930.92x = 2,896.70 × 632.44
  4. Step 4: Simplify right side
    1,930.92x = 1,831,988.95
  5. Step 5: Solve for x
    x = 1,831,988.95/1,930.92
  6. Step 6: Final answer
    x = 948.76

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1.5x scale

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.