Home / 1,713.88-2,566.46-1,164.38

Finding the Fourth Proportional to 1,713.88, 2,566.46 and 1,164.38

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Solution

The fourth proportional to 1,713.88, 2,566.46 and 1,164.38 is: 1,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.88 : 2,566.46 = 1,164.38 : x
  2. Step 2: Convert to fraction form
    1,713.88/2,566.46 = 1,164.38/x
  3. Step 3: Cross multiply
    1,713.88x = 2,566.46 × 1,164.38
  4. Step 4: Simplify right side
    1,713.88x = 2,988,344.02
  5. Step 5: Solve for x
    x = 2,988,344.02/1,713.88
  6. Step 6: Final answer
    x = 1,743.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.