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Finding the Fourth Proportional to 2,814.48, 4,218.48 and 1,514.16

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Solution

The fourth proportional to 2,814.48, 4,218.48 and 1,514.16 is: 2,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.48 : 4,218.48 = 1,514.16 : x
  2. Step 2: Convert to fraction form
    2,814.48/4,218.48 = 1,514.16/x
  3. Step 3: Cross multiply
    2,814.48x = 4,218.48 × 1,514.16
  4. Step 4: Simplify right side
    2,814.48x = 6,387,453.68
  5. Step 5: Solve for x
    x = 6,387,453.68/2,814.48
  6. Step 6: Final answer
    x = 2,269.50

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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.