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Finding the Fourth Proportional to 2,555.78, 3,833.70 and 1,683.86

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Solution

The fourth proportional to 2,555.78, 3,833.70 and 1,683.86 is: 2,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.78 : 3,833.70 = 1,683.86 : x
  2. Step 2: Convert to fraction form
    2,555.78/3,833.70 = 1,683.86/x
  3. Step 3: Cross multiply
    2,555.78x = 3,833.70 × 1,683.86
  4. Step 4: Simplify right side
    2,555.78x = 6,455,435.15
  5. Step 5: Solve for x
    x = 6,455,435.15/2,555.78
  6. Step 6: Final answer
    x = 2,525.82

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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.