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Finding the Fourth Proportional to 1,827.81, 2,539.38 and 1,805.94

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Solution

The fourth proportional to 1,827.81, 2,539.38 and 1,805.94 is: 2,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.81 : 2,539.38 = 1,805.94 : x
  2. Step 2: Convert to fraction form
    1,827.81/2,539.38 = 1,805.94/x
  3. Step 3: Cross multiply
    1,827.81x = 2,539.38 × 1,805.94
  4. Step 4: Simplify right side
    1,827.81x = 4,585,967.92
  5. Step 5: Solve for x
    x = 4,585,967.92/1,827.81
  6. Step 6: Final answer
    x = 2,509.00

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.