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Finding the Fourth Proportional to 1,980.36, 2,726.64 and 1,744.16

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Solution

The fourth proportional to 1,980.36, 2,726.64 and 1,744.16 is: 2,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.36 : 2,726.64 = 1,744.16 : x
  2. Step 2: Convert to fraction form
    1,980.36/2,726.64 = 1,744.16/x
  3. Step 3: Cross multiply
    1,980.36x = 2,726.64 × 1,744.16
  4. Step 4: Simplify right side
    1,980.36x = 4,755,682.79
  5. Step 5: Solve for x
    x = 4,755,682.79/1,980.36
  6. Step 6: Final answer
    x = 2,401.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.