Home / 1,614.32-2,226.40-1,282.24

Finding the Fourth Proportional to 1,614.32, 2,226.40 and 1,282.24

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Solution

The fourth proportional to 1,614.32, 2,226.40 and 1,282.24 is: 1,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.32 : 2,226.40 = 1,282.24 : x
  2. Step 2: Convert to fraction form
    1,614.32/2,226.40 = 1,282.24/x
  3. Step 3: Cross multiply
    1,614.32x = 2,226.40 × 1,282.24
  4. Step 4: Simplify right side
    1,614.32x = 2,854,779.14
  5. Step 5: Solve for x
    x = 2,854,779.14/1,614.32
  6. Step 6: Final answer
    x = 1,768.41

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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.