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Finding the Fourth Proportional to 1,927.58, 2,891.07 and 540.81

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Solution

The fourth proportional to 1,927.58, 2,891.07 and 540.81 is: 811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.58 : 2,891.07 = 540.81 : x
  2. Step 2: Convert to fraction form
    1,927.58/2,891.07 = 540.81/x
  3. Step 3: Cross multiply
    1,927.58x = 2,891.07 × 540.81
  4. Step 4: Simplify right side
    1,927.58x = 1,563,519.57
  5. Step 5: Solve for x
    x = 1,563,519.57/1,927.58
  6. Step 6: Final answer
    x = 811.13

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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.