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Finding the Fourth Proportional to 2,271.66, 3,407.52 and 810.83

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Solution

The fourth proportional to 2,271.66, 3,407.52 and 810.83 is: 1,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.66 : 3,407.52 = 810.83 : x
  2. Step 2: Convert to fraction form
    2,271.66/3,407.52 = 810.83/x
  3. Step 3: Cross multiply
    2,271.66x = 3,407.52 × 810.83
  4. Step 4: Simplify right side
    2,271.66x = 2,762,907.27
  5. Step 5: Solve for x
    x = 2,762,907.27/2,271.66
  6. Step 6: Final answer
    x = 1,216.25

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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.