Home / 2,562.24-3,534-1,765.82

Finding the Fourth Proportional to 2,562.24, 3,534 and 1,765.82

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Solution

The fourth proportional to 2,562.24, 3,534 and 1,765.82 is: 2,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.24 : 3,534 = 1,765.82 : x
  2. Step 2: Convert to fraction form
    2,562.24/3,534 = 1,765.82/x
  3. Step 3: Cross multiply
    2,562.24x = 3,534 × 1,765.82
  4. Step 4: Simplify right side
    2,562.24x = 6,240,407.88
  5. Step 5: Solve for x
    x = 6,240,407.88/2,562.24
  6. Step 6: Final answer
    x = 2,435.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.