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Finding the Fourth Proportional to 2,779.52, 4,163.78 and 1,461.30

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Solution

The fourth proportional to 2,779.52, 4,163.78 and 1,461.30 is: 2,189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.52 : 4,163.78 = 1,461.30 : x
  2. Step 2: Convert to fraction form
    2,779.52/4,163.78 = 1,461.30/x
  3. Step 3: Cross multiply
    2,779.52x = 4,163.78 × 1,461.30
  4. Step 4: Simplify right side
    2,779.52x = 6,084,531.71
  5. Step 5: Solve for x
    x = 6,084,531.71/2,779.52
  6. Step 6: Final answer
    x = 2,189.06

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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.