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Finding the Fourth Proportional to 2,263.25, 3,394.40 and 619.43

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Solution

The fourth proportional to 2,263.25, 3,394.40 and 619.43 is: 929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.25 : 3,394.40 = 619.43 : x
  2. Step 2: Convert to fraction form
    2,263.25/3,394.40 = 619.43/x
  3. Step 3: Cross multiply
    2,263.25x = 3,394.40 × 619.43
  4. Step 4: Simplify right side
    2,263.25x = 2,102,573.12
  5. Step 5: Solve for x
    x = 2,102,573.12/2,263.25
  6. Step 6: Final answer
    x = 929.01

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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.