Home / 1,828.24-2,523.92-1,130

Finding the Fourth Proportional to 1,828.24, 2,523.92 and 1,130

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Solution

The fourth proportional to 1,828.24, 2,523.92 and 1,130 is: 1,559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.24 : 2,523.92 = 1,130 : x
  2. Step 2: Convert to fraction form
    1,828.24/2,523.92 = 1,130/x
  3. Step 3: Cross multiply
    1,828.24x = 2,523.92 × 1,130
  4. Step 4: Simplify right side
    1,828.24x = 2,852,029.60
  5. Step 5: Solve for x
    x = 2,852,029.60/1,828.24
  6. Step 6: Final answer
    x = 1,559.99

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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.