Home / 1,724.26-2,378.01-1,164.58

Finding the Fourth Proportional to 1,724.26, 2,378.01 and 1,164.58

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Solution

The fourth proportional to 1,724.26, 2,378.01 and 1,164.58 is: 1,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.26 : 2,378.01 = 1,164.58 : x
  2. Step 2: Convert to fraction form
    1,724.26/2,378.01 = 1,164.58/x
  3. Step 3: Cross multiply
    1,724.26x = 2,378.01 × 1,164.58
  4. Step 4: Simplify right side
    1,724.26x = 2,769,382.89
  5. Step 5: Solve for x
    x = 2,769,382.89/1,724.26
  6. Step 6: Final answer
    x = 1,606.13

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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.