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Finding the Fourth Proportional to 1,677.96, 2,514.06 and 810.12

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Solution

The fourth proportional to 1,677.96, 2,514.06 and 810.12 is: 1,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.96 : 2,514.06 = 810.12 : x
  2. Step 2: Convert to fraction form
    1,677.96/2,514.06 = 810.12/x
  3. Step 3: Cross multiply
    1,677.96x = 2,514.06 × 810.12
  4. Step 4: Simplify right side
    1,677.96x = 2,036,690.29
  5. Step 5: Solve for x
    x = 2,036,690.29/1,677.96
  6. Step 6: Final answer
    x = 1,213.79

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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.