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Finding the Fourth Proportional to 2,263.29, 3,394.92 and 619.96

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Solution

The fourth proportional to 2,263.29, 3,394.92 and 619.96 is: 929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.29 : 3,394.92 = 619.96 : x
  2. Step 2: Convert to fraction form
    2,263.29/3,394.92 = 619.96/x
  3. Step 3: Cross multiply
    2,263.29x = 3,394.92 × 619.96
  4. Step 4: Simplify right side
    2,263.29x = 2,104,714.81
  5. Step 5: Solve for x
    x = 2,104,714.81/2,263.29
  6. Step 6: Final answer
    x = 929.94

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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.