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Finding the Fourth Proportional to 2,810.16, 4,213.80 and 1,782

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Solution

The fourth proportional to 2,810.16, 4,213.80 and 1,782 is: 2,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.16 : 4,213.80 = 1,782 : x
  2. Step 2: Convert to fraction form
    2,810.16/4,213.80 = 1,782/x
  3. Step 3: Cross multiply
    2,810.16x = 4,213.80 × 1,782
  4. Step 4: Simplify right side
    2,810.16x = 7,508,991.60
  5. Step 5: Solve for x
    x = 7,508,991.60/2,810.16
  6. Step 6: Final answer
    x = 2,672.09

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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.