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Finding the Fourth Proportional to 1,521.44, 2,284.04 and 1,514.42

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Solution

The fourth proportional to 1,521.44, 2,284.04 and 1,514.42 is: 2,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.44 : 2,284.04 = 1,514.42 : x
  2. Step 2: Convert to fraction form
    1,521.44/2,284.04 = 1,514.42/x
  3. Step 3: Cross multiply
    1,521.44x = 2,284.04 × 1,514.42
  4. Step 4: Simplify right side
    1,521.44x = 3,458,988.22
  5. Step 5: Solve for x
    x = 3,458,988.22/1,521.44
  6. Step 6: Final answer
    x = 2,273.50

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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.