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Finding the Fourth Proportional to 1,514.64, 2,269.64 and 1,019.21

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Solution

The fourth proportional to 1,514.64, 2,269.64 and 1,019.21 is: 1,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.64 : 2,269.64 = 1,019.21 : x
  2. Step 2: Convert to fraction form
    1,514.64/2,269.64 = 1,019.21/x
  3. Step 3: Cross multiply
    1,514.64x = 2,269.64 × 1,019.21
  4. Step 4: Simplify right side
    1,514.64x = 2,313,229.01
  5. Step 5: Solve for x
    x = 2,313,229.01/1,514.64
  6. Step 6: Final answer
    x = 1,527.25

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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.