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Finding the Fourth Proportional to 2,814.98, 4,218.80 and 1,514.92

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Solution

The fourth proportional to 2,814.98, 4,218.80 and 1,514.92 is: 2,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.98 : 4,218.80 = 1,514.92 : x
  2. Step 2: Convert to fraction form
    2,814.98/4,218.80 = 1,514.92/x
  3. Step 3: Cross multiply
    2,814.98x = 4,218.80 × 1,514.92
  4. Step 4: Simplify right side
    2,814.98x = 6,391,144.50
  5. Step 5: Solve for x
    x = 6,391,144.50/2,814.98
  6. Step 6: Final answer
    x = 2,270.40

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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.