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Finding the Fourth Proportional to 2,089.94, 2,884.10 and 1,145.70

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Solution

The fourth proportional to 2,089.94, 2,884.10 and 1,145.70 is: 1,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.94 : 2,884.10 = 1,145.70 : x
  2. Step 2: Convert to fraction form
    2,089.94/2,884.10 = 1,145.70/x
  3. Step 3: Cross multiply
    2,089.94x = 2,884.10 × 1,145.70
  4. Step 4: Simplify right side
    2,089.94x = 3,304,307.64
  5. Step 5: Solve for x
    x = 3,304,307.64/2,089.94
  6. Step 6: Final answer
    x = 1,581.06

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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.