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Finding the Fourth Proportional to 2,058.15, 3,086.63 and 671.60

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Solution

The fourth proportional to 2,058.15, 3,086.63 and 671.60 is: 1,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.15 : 3,086.63 = 671.60 : x
  2. Step 2: Convert to fraction form
    2,058.15/3,086.63 = 671.60/x
  3. Step 3: Cross multiply
    2,058.15x = 3,086.63 × 671.60
  4. Step 4: Simplify right side
    2,058.15x = 2,072,980.71
  5. Step 5: Solve for x
    x = 2,072,980.71/2,058.15
  6. Step 6: Final answer
    x = 1,007.21

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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.