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Finding the Fourth Proportional to 2,721.09, 4,081.65 and 989.31

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Solution

The fourth proportional to 2,721.09, 4,081.65 and 989.31 is: 1,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.09 : 4,081.65 = 989.31 : x
  2. Step 2: Convert to fraction form
    2,721.09/4,081.65 = 989.31/x
  3. Step 3: Cross multiply
    2,721.09x = 4,081.65 × 989.31
  4. Step 4: Simplify right side
    2,721.09x = 4,038,017.16
  5. Step 5: Solve for x
    x = 4,038,017.16/2,721.09
  6. Step 6: Final answer
    x = 1,483.97

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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.