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Finding the Fourth Proportional to 3,058.91, 4,588.68 and 978.40

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Solution

The fourth proportional to 3,058.91, 4,588.68 and 978.40 is: 1,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.91 : 4,588.68 = 978.40 : x
  2. Step 2: Convert to fraction form
    3,058.91/4,588.68 = 978.40/x
  3. Step 3: Cross multiply
    3,058.91x = 4,588.68 × 978.40
  4. Step 4: Simplify right side
    3,058.91x = 4,489,539.85
  5. Step 5: Solve for x
    x = 4,489,539.85/3,058.91
  6. Step 6: Final answer
    x = 1,467.69

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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.