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Finding the Fourth Proportional to 2,262.83, 3,394.24 and 619.39

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Solution

The fourth proportional to 2,262.83, 3,394.24 and 619.39 is: 929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.83 : 3,394.24 = 619.39 : x
  2. Step 2: Convert to fraction form
    2,262.83/3,394.24 = 619.39/x
  3. Step 3: Cross multiply
    2,262.83x = 3,394.24 × 619.39
  4. Step 4: Simplify right side
    2,262.83x = 2,102,341.34
  5. Step 5: Solve for x
    x = 2,102,341.34/2,262.83
  6. Step 6: Final answer
    x = 929.08

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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.