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Finding the Fourth Proportional to 2,271.69, 3,407.57 and 810.93

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Solution

The fourth proportional to 2,271.69, 3,407.57 and 810.93 is: 1,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.69 : 3,407.57 = 810.93 : x
  2. Step 2: Convert to fraction form
    2,271.69/3,407.57 = 810.93/x
  3. Step 3: Cross multiply
    2,271.69x = 3,407.57 × 810.93
  4. Step 4: Simplify right side
    2,271.69x = 2,763,296.69
  5. Step 5: Solve for x
    x = 2,763,296.69/2,271.69
  6. Step 6: Final answer
    x = 1,216.41

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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.