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Finding the Fourth Proportional to 2,389.98, 3,580.17 and 1,089.66

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Solution

The fourth proportional to 2,389.98, 3,580.17 and 1,089.66 is: 1,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.98 : 3,580.17 = 1,089.66 : x
  2. Step 2: Convert to fraction form
    2,389.98/3,580.17 = 1,089.66/x
  3. Step 3: Cross multiply
    2,389.98x = 3,580.17 × 1,089.66
  4. Step 4: Simplify right side
    2,389.98x = 3,901,168.04
  5. Step 5: Solve for x
    x = 3,901,168.04/2,389.98
  6. Step 6: Final answer
    x = 1,632.30

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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.