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Finding the Fourth Proportional to 1,841.96, 2,762.81 and 609.33

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Solution

The fourth proportional to 1,841.96, 2,762.81 and 609.33 is: 913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.96 : 2,762.81 = 609.33 : x
  2. Step 2: Convert to fraction form
    1,841.96/2,762.81 = 609.33/x
  3. Step 3: Cross multiply
    1,841.96x = 2,762.81 × 609.33
  4. Step 4: Simplify right side
    1,841.96x = 1,683,459.97
  5. Step 5: Solve for x
    x = 1,683,459.97/1,841.96
  6. Step 6: Final answer
    x = 913.95

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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.