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Finding the Fourth Proportional to 1,891.13, 2,836.38 and 592.25

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Solution

The fourth proportional to 1,891.13, 2,836.38 and 592.25 is: 888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.13 : 2,836.38 = 592.25 : x
  2. Step 2: Convert to fraction form
    1,891.13/2,836.38 = 592.25/x
  3. Step 3: Cross multiply
    1,891.13x = 2,836.38 × 592.25
  4. Step 4: Simplify right side
    1,891.13x = 1,679,846.06
  5. Step 5: Solve for x
    x = 1,679,846.06/1,891.13
  6. Step 6: Final answer
    x = 888.28

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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.