Home / 1,744.56-2,405.16-1,414.08

Finding the Fourth Proportional to 1,744.56, 2,405.16 and 1,414.08

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Solution

The fourth proportional to 1,744.56, 2,405.16 and 1,414.08 is: 1,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.56 : 2,405.16 = 1,414.08 : x
  2. Step 2: Convert to fraction form
    1,744.56/2,405.16 = 1,414.08/x
  3. Step 3: Cross multiply
    1,744.56x = 2,405.16 × 1,414.08
  4. Step 4: Simplify right side
    1,744.56x = 3,401,088.65
  5. Step 5: Solve for x
    x = 3,401,088.65/1,744.56
  6. Step 6: Final answer
    x = 1,949.54

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Why These Related Problems?

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