Home / 1,828.12-2,523.17-1,164.84

Finding the Fourth Proportional to 1,828.12, 2,523.17 and 1,164.84

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Solution

The fourth proportional to 1,828.12, 2,523.17 and 1,164.84 is: 1,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.12 : 2,523.17 = 1,164.84 : x
  2. Step 2: Convert to fraction form
    1,828.12/2,523.17 = 1,164.84/x
  3. Step 3: Cross multiply
    1,828.12x = 2,523.17 × 1,164.84
  4. Step 4: Simplify right side
    1,828.12x = 2,939,089.34
  5. Step 5: Solve for x
    x = 2,939,089.34/1,828.12
  6. Step 6: Final answer
    x = 1,607.71

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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.