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Finding the Fourth Proportional to 3,058.78, 4,587.02 and 978.23

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Solution

The fourth proportional to 3,058.78, 4,587.02 and 978.23 is: 1,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.78 : 4,587.02 = 978.23 : x
  2. Step 2: Convert to fraction form
    3,058.78/4,587.02 = 978.23/x
  3. Step 3: Cross multiply
    3,058.78x = 4,587.02 × 978.23
  4. Step 4: Simplify right side
    3,058.78x = 4,487,160.57
  5. Step 5: Solve for x
    x = 4,487,160.57/3,058.78
  6. Step 6: Final answer
    x = 1,466.98

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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.