Home / 2,174.64-3,254.28-1,596.08

Finding the Fourth Proportional to 2,174.64, 3,254.28 and 1,596.08

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Solution

The fourth proportional to 2,174.64, 3,254.28 and 1,596.08 is: 2,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.64 : 3,254.28 = 1,596.08 : x
  2. Step 2: Convert to fraction form
    2,174.64/3,254.28 = 1,596.08/x
  3. Step 3: Cross multiply
    2,174.64x = 3,254.28 × 1,596.08
  4. Step 4: Simplify right side
    2,174.64x = 5,194,091.22
  5. Step 5: Solve for x
    x = 5,194,091.22/2,174.64
  6. Step 6: Final answer
    x = 2,388.48

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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.