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Finding the Fourth Proportional to 2,503.96, 3,755.94 and 1,135

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Solution

The fourth proportional to 2,503.96, 3,755.94 and 1,135 is: 1,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.96 : 3,755.94 = 1,135 : x
  2. Step 2: Convert to fraction form
    2,503.96/3,755.94 = 1,135/x
  3. Step 3: Cross multiply
    2,503.96x = 3,755.94 × 1,135
  4. Step 4: Simplify right side
    2,503.96x = 4,262,991.90
  5. Step 5: Solve for x
    x = 4,262,991.90/2,503.96
  6. Step 6: Final answer
    x = 1,702.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.