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Finding the Fourth Proportional to 2,503.45, 3,755.66 and 1,042.57

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Solution

The fourth proportional to 2,503.45, 3,755.66 and 1,042.57 is: 1,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.45 : 3,755.66 = 1,042.57 : x
  2. Step 2: Convert to fraction form
    2,503.45/3,755.66 = 1,042.57/x
  3. Step 3: Cross multiply
    2,503.45x = 3,755.66 × 1,042.57
  4. Step 4: Simplify right side
    2,503.45x = 3,915,538.45
  5. Step 5: Solve for x
    x = 3,915,538.45/2,503.45
  6. Step 6: Final answer
    x = 1,564.06

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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.