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Finding the Fourth Proportional to 2,367.84, 3,552.36 and 1,675.86

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Solution

The fourth proportional to 2,367.84, 3,552.36 and 1,675.86 is: 2,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.84 : 3,552.36 = 1,675.86 : x
  2. Step 2: Convert to fraction form
    2,367.84/3,552.36 = 1,675.86/x
  3. Step 3: Cross multiply
    2,367.84x = 3,552.36 × 1,675.86
  4. Step 4: Simplify right side
    2,367.84x = 5,953,258.03
  5. Step 5: Solve for x
    x = 5,953,258.03/2,367.84
  6. Step 6: Final answer
    x = 2,514.21

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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.