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Finding the Fourth Proportional to 2,274.52, 3,412.86 and 1,120

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Solution

The fourth proportional to 2,274.52, 3,412.86 and 1,120 is: 1,680.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.52 : 3,412.86 = 1,120 : x
  2. Step 2: Convert to fraction form
    2,274.52/3,412.86 = 1,120/x
  3. Step 3: Cross multiply
    2,274.52x = 3,412.86 × 1,120
  4. Step 4: Simplify right side
    2,274.52x = 3,822,403.20
  5. Step 5: Solve for x
    x = 3,822,403.20/2,274.52
  6. Step 6: Final answer
    x = 1,680.53

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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.