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Finding the Fourth Proportional to 2,300.68, 3,451.12 and 657.34

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Solution

The fourth proportional to 2,300.68, 3,451.12 and 657.34 is: 986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.68 : 3,451.12 = 657.34 : x
  2. Step 2: Convert to fraction form
    2,300.68/3,451.12 = 657.34/x
  3. Step 3: Cross multiply
    2,300.68x = 3,451.12 × 657.34
  4. Step 4: Simplify right side
    2,300.68x = 2,268,559.22
  5. Step 5: Solve for x
    x = 2,268,559.22/2,300.68
  6. Step 6: Final answer
    x = 986.04

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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.