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Finding the Fourth Proportional to 2,503.24, 3,755.82 and 1,042

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Solution

The fourth proportional to 2,503.24, 3,755.82 and 1,042 is: 1,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.24 : 3,755.82 = 1,042 : x
  2. Step 2: Convert to fraction form
    2,503.24/3,755.82 = 1,042/x
  3. Step 3: Cross multiply
    2,503.24x = 3,755.82 × 1,042
  4. Step 4: Simplify right side
    2,503.24x = 3,913,564.44
  5. Step 5: Solve for x
    x = 3,913,564.44/2,503.24
  6. Step 6: Final answer
    x = 1,563.40

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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.