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Finding the Fourth Proportional to 3,058.43, 4,588.31 and 977.95

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Solution

The fourth proportional to 3,058.43, 4,588.31 and 977.95 is: 1,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.43 : 4,588.31 = 977.95 : x
  2. Step 2: Convert to fraction form
    3,058.43/4,588.31 = 977.95/x
  3. Step 3: Cross multiply
    3,058.43x = 4,588.31 × 977.95
  4. Step 4: Simplify right side
    3,058.43x = 4,487,137.76
  5. Step 5: Solve for x
    x = 4,487,137.76/3,058.43
  6. Step 6: Final answer
    x = 1,467.14

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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.