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Finding the Fourth Proportional to 1,968.78, 2,950.29 and 993.54

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Solution

The fourth proportional to 1,968.78, 2,950.29 and 993.54 is: 1,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.78 : 2,950.29 = 993.54 : x
  2. Step 2: Convert to fraction form
    1,968.78/2,950.29 = 993.54/x
  3. Step 3: Cross multiply
    1,968.78x = 2,950.29 × 993.54
  4. Step 4: Simplify right side
    1,968.78x = 2,931,231.13
  5. Step 5: Solve for x
    x = 2,931,231.13/1,968.78
  6. Step 6: Final answer
    x = 1,488.86

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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.