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Finding the Fourth Proportional to 2,502.86, 3,755.37 and 1,405.58

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Solution

The fourth proportional to 2,502.86, 3,755.37 and 1,405.58 is: 2,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.86 : 3,755.37 = 1,405.58 : x
  2. Step 2: Convert to fraction form
    2,502.86/3,755.37 = 1,405.58/x
  3. Step 3: Cross multiply
    2,502.86x = 3,755.37 × 1,405.58
  4. Step 4: Simplify right side
    2,502.86x = 5,278,465.94
  5. Step 5: Solve for x
    x = 5,278,465.94/2,502.86
  6. Step 6: Final answer
    x = 2,108.97

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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.