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Finding the Fourth Proportional to 1,763.94, 2,416.29 and 1,744.50

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Solution

The fourth proportional to 1,763.94, 2,416.29 and 1,744.50 is: 2,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.94 : 2,416.29 = 1,744.50 : x
  2. Step 2: Convert to fraction form
    1,763.94/2,416.29 = 1,744.50/x
  3. Step 3: Cross multiply
    1,763.94x = 2,416.29 × 1,744.50
  4. Step 4: Simplify right side
    1,763.94x = 4,215,217.91
  5. Step 5: Solve for x
    x = 4,215,217.91/1,763.94
  6. Step 6: Final answer
    x = 2,389.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.