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Finding the Fourth Proportional to 1,910.34, 2,865.06 and 677.70

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Solution

The fourth proportional to 1,910.34, 2,865.06 and 677.70 is: 1,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.34 : 2,865.06 = 677.70 : x
  2. Step 2: Convert to fraction form
    1,910.34/2,865.06 = 677.70/x
  3. Step 3: Cross multiply
    1,910.34x = 2,865.06 × 677.70
  4. Step 4: Simplify right side
    1,910.34x = 1,941,651.16
  5. Step 5: Solve for x
    x = 1,941,651.16/1,910.34
  6. Step 6: Final answer
    x = 1,016.39

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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.