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Finding the Fourth Proportional to 2,503, 3,751.98 and 1,042.96

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Solution

The fourth proportional to 2,503, 3,751.98 and 1,042.96 is: 1,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503 : 3,751.98 = 1,042.96 : x
  2. Step 2: Convert to fraction form
    2,503/3,751.98 = 1,042.96/x
  3. Step 3: Cross multiply
    2,503x = 3,751.98 × 1,042.96
  4. Step 4: Simplify right side
    2,503x = 3,913,165.06
  5. Step 5: Solve for x
    x = 3,913,165.06/2,503
  6. Step 6: Final answer
    x = 1,563.39

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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.