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Finding the Fourth Proportional to 1,962.70, 2,711.29 and 1,859.02

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Solution

The fourth proportional to 1,962.70, 2,711.29 and 1,859.02 is: 2,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.70 : 2,711.29 = 1,859.02 : x
  2. Step 2: Convert to fraction form
    1,962.70/2,711.29 = 1,859.02/x
  3. Step 3: Cross multiply
    1,962.70x = 2,711.29 × 1,859.02
  4. Step 4: Simplify right side
    1,962.70x = 5,040,342.34
  5. Step 5: Solve for x
    x = 5,040,342.34/1,962.70
  6. Step 6: Final answer
    x = 2,568.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.