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Finding the Fourth Proportional to 1,428.10, 2,140.80 and 843.55

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Solution

The fourth proportional to 1,428.10, 2,140.80 and 843.55 is: 1,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.10 : 2,140.80 = 843.55 : x
  2. Step 2: Convert to fraction form
    1,428.10/2,140.80 = 843.55/x
  3. Step 3: Cross multiply
    1,428.10x = 2,140.80 × 843.55
  4. Step 4: Simplify right side
    1,428.10x = 1,805,871.84
  5. Step 5: Solve for x
    x = 1,805,871.84/1,428.10
  6. Step 6: Final answer
    x = 1,264.53

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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.