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Finding the Fourth Proportional to 6,161.64, 9,240.64 and 1,779.14

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Solution

The fourth proportional to 6,161.64, 9,240.64 and 1,779.14 is: 2,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.64 : 9,240.64 = 1,779.14 : x
  2. Step 2: Convert to fraction form
    6,161.64/9,240.64 = 1,779.14/x
  3. Step 3: Cross multiply
    6,161.64x = 9,240.64 × 1,779.14
  4. Step 4: Simplify right side
    6,161.64x = 16,440,341.60
  5. Step 5: Solve for x
    x = 16,440,341.60/6,161.64
  6. Step 6: Final answer
    x = 2,668.18

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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.