Home / 1,592.31-2,385.87-811.24

Finding the Fourth Proportional to 1,592.31, 2,385.87 and 811.24

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Solution

The fourth proportional to 1,592.31, 2,385.87 and 811.24 is: 1,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.31 : 2,385.87 = 811.24 : x
  2. Step 2: Convert to fraction form
    1,592.31/2,385.87 = 811.24/x
  3. Step 3: Cross multiply
    1,592.31x = 2,385.87 × 811.24
  4. Step 4: Simplify right side
    1,592.31x = 1,935,513.18
  5. Step 5: Solve for x
    x = 1,935,513.18/1,592.31
  6. Step 6: Final answer
    x = 1,215.54

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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.