Home / 1,464.16-2,020.26-874.48

Finding the Fourth Proportional to 1,464.16, 2,020.26 and 874.48

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Solution

The fourth proportional to 1,464.16, 2,020.26 and 874.48 is: 1,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.16 : 2,020.26 = 874.48 : x
  2. Step 2: Convert to fraction form
    1,464.16/2,020.26 = 874.48/x
  3. Step 3: Cross multiply
    1,464.16x = 2,020.26 × 874.48
  4. Step 4: Simplify right side
    1,464.16x = 1,766,676.96
  5. Step 5: Solve for x
    x = 1,766,676.96/1,464.16
  6. Step 6: Final answer
    x = 1,206.61

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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.