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Finding the Fourth Proportional to 1,953.41, 2,930.57 and 566.78

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Solution

The fourth proportional to 1,953.41, 2,930.57 and 566.78 is: 850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.41 : 2,930.57 = 566.78 : x
  2. Step 2: Convert to fraction form
    1,953.41/2,930.57 = 566.78/x
  3. Step 3: Cross multiply
    1,953.41x = 2,930.57 × 566.78
  4. Step 4: Simplify right side
    1,953.41x = 1,660,970.98
  5. Step 5: Solve for x
    x = 1,660,970.98/1,953.41
  6. Step 6: Final answer
    x = 850.30

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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.