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Finding the Fourth Proportional to 1,812.26, 2,713.48 and 1,420.20

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Solution

The fourth proportional to 1,812.26, 2,713.48 and 1,420.20 is: 2,126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.26 : 2,713.48 = 1,420.20 : x
  2. Step 2: Convert to fraction form
    1,812.26/2,713.48 = 1,420.20/x
  3. Step 3: Cross multiply
    1,812.26x = 2,713.48 × 1,420.20
  4. Step 4: Simplify right side
    1,812.26x = 3,853,684.30
  5. Step 5: Solve for x
    x = 3,853,684.30/1,812.26
  6. Step 6: Final answer
    x = 2,126.45

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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.