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Finding the Fourth Proportional to 2,300.94, 3,454.38 and 1,814.40

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Solution

The fourth proportional to 2,300.94, 3,454.38 and 1,814.40 is: 2,723.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.94 : 3,454.38 = 1,814.40 : x
  2. Step 2: Convert to fraction form
    2,300.94/3,454.38 = 1,814.40/x
  3. Step 3: Cross multiply
    2,300.94x = 3,454.38 × 1,814.40
  4. Step 4: Simplify right side
    2,300.94x = 6,267,627.07
  5. Step 5: Solve for x
    x = 6,267,627.07/2,300.94
  6. Step 6: Final answer
    x = 2,723.94

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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.