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Finding the Fourth Proportional to 2,058.72, 3,074.48 and 1,946.40

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Solution

The fourth proportional to 2,058.72, 3,074.48 and 1,946.40 is: 2,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.72 : 3,074.48 = 1,946.40 : x
  2. Step 2: Convert to fraction form
    2,058.72/3,074.48 = 1,946.40/x
  3. Step 3: Cross multiply
    2,058.72x = 3,074.48 × 1,946.40
  4. Step 4: Simplify right side
    2,058.72x = 5,984,167.87
  5. Step 5: Solve for x
    x = 5,984,167.87/2,058.72
  6. Step 6: Final answer
    x = 2,906.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.