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Finding the Fourth Proportional to 2,707.43, 4,058.20 and 1,319.19

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Solution

The fourth proportional to 2,707.43, 4,058.20 and 1,319.19 is: 1,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.43 : 4,058.20 = 1,319.19 : x
  2. Step 2: Convert to fraction form
    2,707.43/4,058.20 = 1,319.19/x
  3. Step 3: Cross multiply
    2,707.43x = 4,058.20 × 1,319.19
  4. Step 4: Simplify right side
    2,707.43x = 5,353,523.29
  5. Step 5: Solve for x
    x = 5,353,523.29/2,707.43
  6. Step 6: Final answer
    x = 1,977.35

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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.