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Finding the Fourth Proportional to 2,511.93, 3,765.16 and 2,145.61

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Solution

The fourth proportional to 2,511.93, 3,765.16 and 2,145.61 is: 3,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.93 : 3,765.16 = 2,145.61 : x
  2. Step 2: Convert to fraction form
    2,511.93/3,765.16 = 2,145.61/x
  3. Step 3: Cross multiply
    2,511.93x = 3,765.16 × 2,145.61
  4. Step 4: Simplify right side
    2,511.93x = 8,078,564.95
  5. Step 5: Solve for x
    x = 8,078,564.95/2,511.93
  6. Step 6: Final answer
    x = 3,216.08

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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.