Home / 1,829.72-2,744-1,537.30

Finding the Fourth Proportional to 1,829.72, 2,744 and 1,537.30

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Solution

The fourth proportional to 1,829.72, 2,744 and 1,537.30 is: 2,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.72 : 2,744 = 1,537.30 : x
  2. Step 2: Convert to fraction form
    1,829.72/2,744 = 1,537.30/x
  3. Step 3: Cross multiply
    1,829.72x = 2,744 × 1,537.30
  4. Step 4: Simplify right side
    1,829.72x = 4,218,351.20
  5. Step 5: Solve for x
    x = 4,218,351.20/1,829.72
  6. Step 6: Final answer
    x = 2,305.46

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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.