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Finding the Fourth Proportional to 2,475.86, 3,714.48 and 2,012.49

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Solution

The fourth proportional to 2,475.86, 3,714.48 and 2,012.49 is: 3,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.86 : 3,714.48 = 2,012.49 : x
  2. Step 2: Convert to fraction form
    2,475.86/3,714.48 = 2,012.49/x
  3. Step 3: Cross multiply
    2,475.86x = 3,714.48 × 2,012.49
  4. Step 4: Simplify right side
    2,475.86x = 7,475,343.79
  5. Step 5: Solve for x
    x = 7,475,343.79/2,475.86
  6. Step 6: Final answer
    x = 3,019.30

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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.