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Finding the Fourth Proportional to 2,693.60, 4,042.80 and 2,328.80

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Solution

The fourth proportional to 2,693.60, 4,042.80 and 2,328.80 is: 3,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.60 : 4,042.80 = 2,328.80 : x
  2. Step 2: Convert to fraction form
    2,693.60/4,042.80 = 2,328.80/x
  3. Step 3: Cross multiply
    2,693.60x = 4,042.80 × 2,328.80
  4. Step 4: Simplify right side
    2,693.60x = 9,414,872.64
  5. Step 5: Solve for x
    x = 9,414,872.64/2,693.60
  6. Step 6: Final answer
    x = 3,495.27

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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.