Home / 1,537.08-2,305.20-426.23

Finding the Fourth Proportional to 1,537.08, 2,305.20 and 426.23

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Solution

The fourth proportional to 1,537.08, 2,305.20 and 426.23 is: 639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.08 : 2,305.20 = 426.23 : x
  2. Step 2: Convert to fraction form
    1,537.08/2,305.20 = 426.23/x
  3. Step 3: Cross multiply
    1,537.08x = 2,305.20 × 426.23
  4. Step 4: Simplify right side
    1,537.08x = 982,533.87
  5. Step 5: Solve for x
    x = 982,533.87/1,537.08
  6. Step 6: Final answer
    x = 639.22

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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.