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Finding the Fourth Proportional to 2,506.38, 3,755.93 and 1,777.38

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Solution

The fourth proportional to 2,506.38, 3,755.93 and 1,777.38 is: 2,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.38 : 3,755.93 = 1,777.38 : x
  2. Step 2: Convert to fraction form
    2,506.38/3,755.93 = 1,777.38/x
  3. Step 3: Cross multiply
    2,506.38x = 3,755.93 × 1,777.38
  4. Step 4: Simplify right side
    2,506.38x = 6,675,714.86
  5. Step 5: Solve for x
    x = 6,675,714.86/2,506.38
  6. Step 6: Final answer
    x = 2,663.49

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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.