Home / 2,274.64-3,409.50-1,102.16

Finding the Fourth Proportional to 2,274.64, 3,409.50 and 1,102.16

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Solution

The fourth proportional to 2,274.64, 3,409.50 and 1,102.16 is: 1,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.64 : 3,409.50 = 1,102.16 : x
  2. Step 2: Convert to fraction form
    2,274.64/3,409.50 = 1,102.16/x
  3. Step 3: Cross multiply
    2,274.64x = 3,409.50 × 1,102.16
  4. Step 4: Simplify right side
    2,274.64x = 3,757,814.52
  5. Step 5: Solve for x
    x = 3,757,814.52/2,274.64
  6. Step 6: Final answer
    x = 1,652.05

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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.