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Finding the Fourth Proportional to 2,546.91, 3,514.79 and 1,802.21

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Solution

The fourth proportional to 2,546.91, 3,514.79 and 1,802.21 is: 2,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.91 : 3,514.79 = 1,802.21 : x
  2. Step 2: Convert to fraction form
    2,546.91/3,514.79 = 1,802.21/x
  3. Step 3: Cross multiply
    2,546.91x = 3,514.79 × 1,802.21
  4. Step 4: Simplify right side
    2,546.91x = 6,334,376.62
  5. Step 5: Solve for x
    x = 6,334,376.62/2,546.91
  6. Step 6: Final answer
    x = 2,487.08

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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.