Home / 1,519.44-2,280.26-972.96

Finding the Fourth Proportional to 1,519.44, 2,280.26 and 972.96

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Solution

The fourth proportional to 1,519.44, 2,280.26 and 972.96 is: 1,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.44 : 2,280.26 = 972.96 : x
  2. Step 2: Convert to fraction form
    1,519.44/2,280.26 = 972.96/x
  3. Step 3: Cross multiply
    1,519.44x = 2,280.26 × 972.96
  4. Step 4: Simplify right side
    1,519.44x = 2,218,601.77
  5. Step 5: Solve for x
    x = 2,218,601.77/1,519.44
  6. Step 6: Final answer
    x = 1,460.14

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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.