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Finding the Fourth Proportional to 2,507.10, 3,755.61 and 1,409.82

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Solution

The fourth proportional to 2,507.10, 3,755.61 and 1,409.82 is: 2,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.10 : 3,755.61 = 1,409.82 : x
  2. Step 2: Convert to fraction form
    2,507.10/3,755.61 = 1,409.82/x
  3. Step 3: Cross multiply
    2,507.10x = 3,755.61 × 1,409.82
  4. Step 4: Simplify right side
    2,507.10x = 5,294,734.09
  5. Step 5: Solve for x
    x = 5,294,734.09/2,507.10
  6. Step 6: Final answer
    x = 2,111.90

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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.