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Finding the Fourth Proportional to 1,784.81, 2,463.72 and 1,597.97

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Solution

The fourth proportional to 1,784.81, 2,463.72 and 1,597.97 is: 2,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.81 : 2,463.72 = 1,597.97 : x
  2. Step 2: Convert to fraction form
    1,784.81/2,463.72 = 1,597.97/x
  3. Step 3: Cross multiply
    1,784.81x = 2,463.72 × 1,597.97
  4. Step 4: Simplify right side
    1,784.81x = 3,936,950.65
  5. Step 5: Solve for x
    x = 3,936,950.65/1,784.81
  6. Step 6: Final answer
    x = 2,205.81

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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.