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Finding the Fourth Proportional to 1,913.12, 2,869.10 and 680.37

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Solution

The fourth proportional to 1,913.12, 2,869.10 and 680.37 is: 1,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.12 : 2,869.10 = 680.37 : x
  2. Step 2: Convert to fraction form
    1,913.12/2,869.10 = 680.37/x
  3. Step 3: Cross multiply
    1,913.12x = 2,869.10 × 680.37
  4. Step 4: Simplify right side
    1,913.12x = 1,952,035.22
  5. Step 5: Solve for x
    x = 1,952,035.22/1,913.12
  6. Step 6: Final answer
    x = 1,020.34

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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.