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Finding the Fourth Proportional to 2,262.81, 3,394.23 and 619.53

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Solution

The fourth proportional to 2,262.81, 3,394.23 and 619.53 is: 929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.81 : 3,394.23 = 619.53 : x
  2. Step 2: Convert to fraction form
    2,262.81/3,394.23 = 619.53/x
  3. Step 3: Cross multiply
    2,262.81x = 3,394.23 × 619.53
  4. Step 4: Simplify right side
    2,262.81x = 2,102,827.31
  5. Step 5: Solve for x
    x = 2,102,827.31/2,262.81
  6. Step 6: Final answer
    x = 929.30

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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.