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Finding the Fourth Proportional to 2,810.34, 4,216.33 and 835.99

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Solution

The fourth proportional to 2,810.34, 4,216.33 and 835.99 is: 1,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.34 : 4,216.33 = 835.99 : x
  2. Step 2: Convert to fraction form
    2,810.34/4,216.33 = 835.99/x
  3. Step 3: Cross multiply
    2,810.34x = 4,216.33 × 835.99
  4. Step 4: Simplify right side
    2,810.34x = 3,524,800.22
  5. Step 5: Solve for x
    x = 3,524,800.22/2,810.34
  6. Step 6: Final answer
    x = 1,254.23

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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.