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Finding the Fourth Proportional to 2,330.75, 3,191.94 and 2,300.00

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Solution

The fourth proportional to 2,330.75, 3,191.94 and 2,300.00 is: 3,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.75 : 3,191.94 = 2,300.00 : x
  2. Step 2: Convert to fraction form
    2,330.75/3,191.94 = 2,300.00/x
  3. Step 3: Cross multiply
    2,330.75x = 3,191.94 × 2,300.00
  4. Step 4: Simplify right side
    2,330.75x = 7,341,441.19
  5. Step 5: Solve for x
    x = 7,341,441.19/2,330.75
  6. Step 6: Final answer
    x = 3,149.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.