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Finding the Fourth Proportional to 2,503.80, 3,755.70 and 2,434.68

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Solution

The fourth proportional to 2,503.80, 3,755.70 and 2,434.68 is: 3,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.80 : 3,755.70 = 2,434.68 : x
  2. Step 2: Convert to fraction form
    2,503.80/3,755.70 = 2,434.68/x
  3. Step 3: Cross multiply
    2,503.80x = 3,755.70 × 2,434.68
  4. Step 4: Simplify right side
    2,503.80x = 9,143,927.68
  5. Step 5: Solve for x
    x = 9,143,927.68/2,503.80
  6. Step 6: Final answer
    x = 3,652.02

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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.