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Finding the Fourth Proportional to 3,058.22, 4,587.66 and 977.73

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Solution

The fourth proportional to 3,058.22, 4,587.66 and 977.73 is: 1,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.22 : 4,587.66 = 977.73 : x
  2. Step 2: Convert to fraction form
    3,058.22/4,587.66 = 977.73/x
  3. Step 3: Cross multiply
    3,058.22x = 4,587.66 × 977.73
  4. Step 4: Simplify right side
    3,058.22x = 4,485,492.81
  5. Step 5: Solve for x
    x = 4,485,492.81/3,058.22
  6. Step 6: Final answer
    x = 1,466.70

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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.