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Finding the Fourth Proportional to 2,389.54, 3,582.42 and 1,139.48

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Solution

The fourth proportional to 2,389.54, 3,582.42 and 1,139.48 is: 1,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.54 : 3,582.42 = 1,139.48 : x
  2. Step 2: Convert to fraction form
    2,389.54/3,582.42 = 1,139.48/x
  3. Step 3: Cross multiply
    2,389.54x = 3,582.42 × 1,139.48
  4. Step 4: Simplify right side
    2,389.54x = 4,082,078.03
  5. Step 5: Solve for x
    x = 4,082,078.03/2,389.54
  6. Step 6: Final answer
    x = 1,708.31

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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.