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Finding the Fourth Proportional to 2,743.77, 4,116.78 and 989.01

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Solution

The fourth proportional to 2,743.77, 4,116.78 and 989.01 is: 1,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.77 : 4,116.78 = 989.01 : x
  2. Step 2: Convert to fraction form
    2,743.77/4,116.78 = 989.01/x
  3. Step 3: Cross multiply
    2,743.77x = 4,116.78 × 989.01
  4. Step 4: Simplify right side
    2,743.77x = 4,071,536.59
  5. Step 5: Solve for x
    x = 4,071,536.59/2,743.77
  6. Step 6: Final answer
    x = 1,483.92

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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.