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Finding the Fourth Proportional to 2,262.63, 3,394.10 and 619.04

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Solution

The fourth proportional to 2,262.63, 3,394.10 and 619.04 is: 928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.63 : 3,394.10 = 619.04 : x
  2. Step 2: Convert to fraction form
    2,262.63/3,394.10 = 619.04/x
  3. Step 3: Cross multiply
    2,262.63x = 3,394.10 × 619.04
  4. Step 4: Simplify right side
    2,262.63x = 2,101,093.70
  5. Step 5: Solve for x
    x = 2,101,093.70/2,262.63
  6. Step 6: Final answer
    x = 928.61

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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.