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Finding the Fourth Proportional to 2,507.68, 3,458.94 and 1,511.92

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Solution

The fourth proportional to 2,507.68, 3,458.94 and 1,511.92 is: 2,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.68 : 3,458.94 = 1,511.92 : x
  2. Step 2: Convert to fraction form
    2,507.68/3,458.94 = 1,511.92/x
  3. Step 3: Cross multiply
    2,507.68x = 3,458.94 × 1,511.92
  4. Step 4: Simplify right side
    2,507.68x = 5,229,640.56
  5. Step 5: Solve for x
    x = 5,229,640.56/2,507.68
  6. Step 6: Final answer
    x = 2,085.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.