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Finding the Fourth Proportional to 2,263.06, 3,394.47 and 619.60

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Solution

The fourth proportional to 2,263.06, 3,394.47 and 619.60 is: 929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.06 : 3,394.47 = 619.60 : x
  2. Step 2: Convert to fraction form
    2,263.06/3,394.47 = 619.60/x
  3. Step 3: Cross multiply
    2,263.06x = 3,394.47 × 619.60
  4. Step 4: Simplify right side
    2,263.06x = 2,103,213.61
  5. Step 5: Solve for x
    x = 2,103,213.61/2,263.06
  6. Step 6: Final answer
    x = 929.37

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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.