Home / 1,561.29-2,342.82-976.20

Finding the Fourth Proportional to 1,561.29, 2,342.82 and 976.20

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Solution

The fourth proportional to 1,561.29, 2,342.82 and 976.20 is: 1,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.29 : 2,342.82 = 976.20 : x
  2. Step 2: Convert to fraction form
    1,561.29/2,342.82 = 976.20/x
  3. Step 3: Cross multiply
    1,561.29x = 2,342.82 × 976.20
  4. Step 4: Simplify right side
    1,561.29x = 2,287,060.88
  5. Step 5: Solve for x
    x = 2,287,060.88/1,561.29
  6. Step 6: Final answer
    x = 1,464.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.