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Finding the Fourth Proportional to 2,684.80, 4,023.60 and 1,144

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Solution

The fourth proportional to 2,684.80, 4,023.60 and 1,144 is: 1,714.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.80 : 4,023.60 = 1,144 : x
  2. Step 2: Convert to fraction form
    2,684.80/4,023.60 = 1,144/x
  3. Step 3: Cross multiply
    2,684.80x = 4,023.60 × 1,144
  4. Step 4: Simplify right side
    2,684.80x = 4,602,998.40
  5. Step 5: Solve for x
    x = 4,602,998.40/2,684.80
  6. Step 6: Final answer
    x = 1,714.47

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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.