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Finding the Fourth Proportional to 2,514.46, 3,763.23 and 2,295.46

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Solution

The fourth proportional to 2,514.46, 3,763.23 and 2,295.46 is: 3,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.46 : 3,763.23 = 2,295.46 : x
  2. Step 2: Convert to fraction form
    2,514.46/3,763.23 = 2,295.46/x
  3. Step 3: Cross multiply
    2,514.46x = 3,763.23 × 2,295.46
  4. Step 4: Simplify right side
    2,514.46x = 8,638,343.94
  5. Step 5: Solve for x
    x = 8,638,343.94/2,514.46
  6. Step 6: Final answer
    x = 3,435.47

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1.5x scale

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.