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Finding the Fourth Proportional to 2,445.73, 3,668.77 and 984.89

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Solution

The fourth proportional to 2,445.73, 3,668.77 and 984.89 is: 1,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.73 : 3,668.77 = 984.89 : x
  2. Step 2: Convert to fraction form
    2,445.73/3,668.77 = 984.89/x
  3. Step 3: Cross multiply
    2,445.73x = 3,668.77 × 984.89
  4. Step 4: Simplify right side
    2,445.73x = 3,613,334.89
  5. Step 5: Solve for x
    x = 3,613,334.89/2,445.73
  6. Step 6: Final answer
    x = 1,477.41

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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.