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Finding the Fourth Proportional to 3,055.81, 4,583.97 and 976.11

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Solution

The fourth proportional to 3,055.81, 4,583.97 and 976.11 is: 1,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.81 : 4,583.97 = 976.11 : x
  2. Step 2: Convert to fraction form
    3,055.81/4,583.97 = 976.11/x
  3. Step 3: Cross multiply
    3,055.81x = 4,583.97 × 976.11
  4. Step 4: Simplify right side
    3,055.81x = 4,474,458.96
  5. Step 5: Solve for x
    x = 4,474,458.96/3,055.81
  6. Step 6: Final answer
    x = 1,464.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.