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Finding the Fourth Proportional to 3,058.22, 4,584.81 and 976.93

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Solution

The fourth proportional to 3,058.22, 4,584.81 and 976.93 is: 1,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.22 : 4,584.81 = 976.93 : x
  2. Step 2: Convert to fraction form
    3,058.22/4,584.81 = 976.93/x
  3. Step 3: Cross multiply
    3,058.22x = 4,584.81 × 976.93
  4. Step 4: Simplify right side
    3,058.22x = 4,479,030.63
  5. Step 5: Solve for x
    x = 4,479,030.63/3,058.22
  6. Step 6: Final answer
    x = 1,464.59

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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.