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Finding the Fourth Proportional to 2,089.94, 2,884.05 and 1,145.71

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Solution

The fourth proportional to 2,089.94, 2,884.05 and 1,145.71 is: 1,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.94 : 2,884.05 = 1,145.71 : x
  2. Step 2: Convert to fraction form
    2,089.94/2,884.05 = 1,145.71/x
  3. Step 3: Cross multiply
    2,089.94x = 2,884.05 × 1,145.71
  4. Step 4: Simplify right side
    2,089.94x = 3,304,294.40
  5. Step 5: Solve for x
    x = 3,304,294.40/2,089.94
  6. Step 6: Final answer
    x = 1,581.04

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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.