Home / 1,828.38-2,741.40-1,006.44

Finding the Fourth Proportional to 1,828.38, 2,741.40 and 1,006.44

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Solution

The fourth proportional to 1,828.38, 2,741.40 and 1,006.44 is: 1,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.38 : 2,741.40 = 1,006.44 : x
  2. Step 2: Convert to fraction form
    1,828.38/2,741.40 = 1,006.44/x
  3. Step 3: Cross multiply
    1,828.38x = 2,741.40 × 1,006.44
  4. Step 4: Simplify right side
    1,828.38x = 2,759,054.62
  5. Step 5: Solve for x
    x = 2,759,054.62/1,828.38
  6. Step 6: Final answer
    x = 1,509.02

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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.