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Finding the Fourth Proportional to 2,779.89, 4,169.94 and 832.23

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Solution

The fourth proportional to 2,779.89, 4,169.94 and 832.23 is: 1,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.89 : 4,169.94 = 832.23 : x
  2. Step 2: Convert to fraction form
    2,779.89/4,169.94 = 832.23/x
  3. Step 3: Cross multiply
    2,779.89x = 4,169.94 × 832.23
  4. Step 4: Simplify right side
    2,779.89x = 3,470,349.17
  5. Step 5: Solve for x
    x = 3,470,349.17/2,779.89
  6. Step 6: Final answer
    x = 1,248.38

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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.