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Finding the Fourth Proportional to 2,566.07, 3,849.47 and 810.47

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Solution

The fourth proportional to 2,566.07, 3,849.47 and 810.47 is: 1,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.07 : 3,849.47 = 810.47 : x
  2. Step 2: Convert to fraction form
    2,566.07/3,849.47 = 810.47/x
  3. Step 3: Cross multiply
    2,566.07x = 3,849.47 × 810.47
  4. Step 4: Simplify right side
    2,566.07x = 3,119,879.95
  5. Step 5: Solve for x
    x = 3,119,879.95/2,566.07
  6. Step 6: Final answer
    x = 1,215.82

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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.