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Finding the Fourth Proportional to 2,805.61, 4,208.31 and 1,160.92

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Solution

The fourth proportional to 2,805.61, 4,208.31 and 1,160.92 is: 1,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.61 : 4,208.31 = 1,160.92 : x
  2. Step 2: Convert to fraction form
    2,805.61/4,208.31 = 1,160.92/x
  3. Step 3: Cross multiply
    2,805.61x = 4,208.31 × 1,160.92
  4. Step 4: Simplify right side
    2,805.61x = 4,885,511.25
  5. Step 5: Solve for x
    x = 4,885,511.25/2,805.61
  6. Step 6: Final answer
    x = 1,741.34

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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.