Home / 1,724.64-2,377.23-1,164.93

Finding the Fourth Proportional to 1,724.64, 2,377.23 and 1,164.93

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Solution

The fourth proportional to 1,724.64, 2,377.23 and 1,164.93 is: 1,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.64 : 2,377.23 = 1,164.93 : x
  2. Step 2: Convert to fraction form
    1,724.64/2,377.23 = 1,164.93/x
  3. Step 3: Cross multiply
    1,724.64x = 2,377.23 × 1,164.93
  4. Step 4: Simplify right side
    1,724.64x = 2,769,293.26
  5. Step 5: Solve for x
    x = 2,769,293.26/1,724.64
  6. Step 6: Final answer
    x = 1,605.73

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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.