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Finding the Fourth Proportional to 2,684.08, 4,026.08 and 1,384.80

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Solution

The fourth proportional to 2,684.08, 4,026.08 and 1,384.80 is: 2,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.08 : 4,026.08 = 1,384.80 : x
  2. Step 2: Convert to fraction form
    2,684.08/4,026.08 = 1,384.80/x
  3. Step 3: Cross multiply
    2,684.08x = 4,026.08 × 1,384.80
  4. Step 4: Simplify right side
    2,684.08x = 5,575,315.58
  5. Step 5: Solve for x
    x = 5,575,315.58/2,684.08
  6. Step 6: Final answer
    x = 2,077.18

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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.