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Finding the Fourth Proportional to 4,242.90, 6,367 and 1,779.78

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Solution

The fourth proportional to 4,242.90, 6,367 and 1,779.78 is: 2,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.90 : 6,367 = 1,779.78 : x
  2. Step 2: Convert to fraction form
    4,242.90/6,367 = 1,779.78/x
  3. Step 3: Cross multiply
    4,242.90x = 6,367 × 1,779.78
  4. Step 4: Simplify right side
    4,242.90x = 11,331,859.26
  5. Step 5: Solve for x
    x = 11,331,859.26/4,242.90
  6. Step 6: Final answer
    x = 2,670.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.