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Finding the Fourth Proportional to 2,507.13, 3,754.74 and 2,109.87

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Solution

The fourth proportional to 2,507.13, 3,754.74 and 2,109.87 is: 3,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.13 : 3,754.74 = 2,109.87 : x
  2. Step 2: Convert to fraction form
    2,507.13/3,754.74 = 2,109.87/x
  3. Step 3: Cross multiply
    2,507.13x = 3,754.74 × 2,109.87
  4. Step 4: Simplify right side
    2,507.13x = 7,922,013.28
  5. Step 5: Solve for x
    x = 7,922,013.28/2,507.13
  6. Step 6: Final answer
    x = 3,159.79

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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.