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Finding the Fourth Proportional to 2,779.68, 4,169.94 and 1,024.41

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Solution

The fourth proportional to 2,779.68, 4,169.94 and 1,024.41 is: 1,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.68 : 4,169.94 = 1,024.41 : x
  2. Step 2: Convert to fraction form
    2,779.68/4,169.94 = 1,024.41/x
  3. Step 3: Cross multiply
    2,779.68x = 4,169.94 × 1,024.41
  4. Step 4: Simplify right side
    2,779.68x = 4,271,728.24
  5. Step 5: Solve for x
    x = 4,271,728.24/2,779.68
  6. Step 6: Final answer
    x = 1,536.77

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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.