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Finding the Fourth Proportional to 1,985.27, 2,977.30 and 830.75

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Solution

The fourth proportional to 1,985.27, 2,977.30 and 830.75 is: 1,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.27 : 2,977.30 = 830.75 : x
  2. Step 2: Convert to fraction form
    1,985.27/2,977.30 = 830.75/x
  3. Step 3: Cross multiply
    1,985.27x = 2,977.30 × 830.75
  4. Step 4: Simplify right side
    1,985.27x = 2,473,391.98
  5. Step 5: Solve for x
    x = 2,473,391.98/1,985.27
  6. Step 6: Final answer
    x = 1,245.87

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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.