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Finding the Fourth Proportional to 2,930.68, 4,396.56 and 983.44

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Solution

The fourth proportional to 2,930.68, 4,396.56 and 983.44 is: 1,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.68 : 4,396.56 = 983.44 : x
  2. Step 2: Convert to fraction form
    2,930.68/4,396.56 = 983.44/x
  3. Step 3: Cross multiply
    2,930.68x = 4,396.56 × 983.44
  4. Step 4: Simplify right side
    2,930.68x = 4,323,752.97
  5. Step 5: Solve for x
    x = 4,323,752.97/2,930.68
  6. Step 6: Final answer
    x = 1,475.34

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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.