Home / 1,614.16-2,226.72-1,023.76

Finding the Fourth Proportional to 1,614.16, 2,226.72 and 1,023.76

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Solution

The fourth proportional to 1,614.16, 2,226.72 and 1,023.76 is: 1,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.16 : 2,226.72 = 1,023.76 : x
  2. Step 2: Convert to fraction form
    1,614.16/2,226.72 = 1,023.76/x
  3. Step 3: Cross multiply
    1,614.16x = 2,226.72 × 1,023.76
  4. Step 4: Simplify right side
    1,614.16x = 2,279,626.87
  5. Step 5: Solve for x
    x = 2,279,626.87/1,614.16
  6. Step 6: Final answer
    x = 1,412.27

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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.