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Finding the Fourth Proportional to 2,230.04, 3,078.48 and 1,592.48

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Solution

The fourth proportional to 2,230.04, 3,078.48 and 1,592.48 is: 2,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.04 : 3,078.48 = 1,592.48 : x
  2. Step 2: Convert to fraction form
    2,230.04/3,078.48 = 1,592.48/x
  3. Step 3: Cross multiply
    2,230.04x = 3,078.48 × 1,592.48
  4. Step 4: Simplify right side
    2,230.04x = 4,902,402.44
  5. Step 5: Solve for x
    x = 4,902,402.44/2,230.04
  6. Step 6: Final answer
    x = 2,198.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.