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Finding the Fourth Proportional to 2,779.68, 4,142.76 and 2,775.36

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Solution

The fourth proportional to 2,779.68, 4,142.76 and 2,775.36 is: 4,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.68 : 4,142.76 = 2,775.36 : x
  2. Step 2: Convert to fraction form
    2,779.68/4,142.76 = 2,775.36/x
  3. Step 3: Cross multiply
    2,779.68x = 4,142.76 × 2,775.36
  4. Step 4: Simplify right side
    2,779.68x = 11,497,650.39
  5. Step 5: Solve for x
    x = 11,497,650.39/2,779.68
  6. Step 6: Final answer
    x = 4,136.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.