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Finding the Fourth Proportional to 2,073.83, 2,862.27 and 1,190.21

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Solution

The fourth proportional to 2,073.83, 2,862.27 and 1,190.21 is: 1,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.83 : 2,862.27 = 1,190.21 : x
  2. Step 2: Convert to fraction form
    2,073.83/2,862.27 = 1,190.21/x
  3. Step 3: Cross multiply
    2,073.83x = 2,862.27 × 1,190.21
  4. Step 4: Simplify right side
    2,073.83x = 3,406,688.07
  5. Step 5: Solve for x
    x = 3,406,688.07/2,073.83
  6. Step 6: Final answer
    x = 1,642.71

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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.