Home / 2,506.24-3,760-1,588.32

Finding the Fourth Proportional to 2,506.24, 3,760 and 1,588.32

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Solution

The fourth proportional to 2,506.24, 3,760 and 1,588.32 is: 2,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.24 : 3,760 = 1,588.32 : x
  2. Step 2: Convert to fraction form
    2,506.24/3,760 = 1,588.32/x
  3. Step 3: Cross multiply
    2,506.24x = 3,760 × 1,588.32
  4. Step 4: Simplify right side
    2,506.24x = 5,972,083.20
  5. Step 5: Solve for x
    x = 5,972,083.20/2,506.24
  6. Step 6: Final answer
    x = 2,382.89

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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.