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Finding the Fourth Proportional to 2,687.65, 4,033.01 and 1,043.98

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Solution

The fourth proportional to 2,687.65, 4,033.01 and 1,043.98 is: 1,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.65 : 4,033.01 = 1,043.98 : x
  2. Step 2: Convert to fraction form
    2,687.65/4,033.01 = 1,043.98/x
  3. Step 3: Cross multiply
    2,687.65x = 4,033.01 × 1,043.98
  4. Step 4: Simplify right side
    2,687.65x = 4,210,400.77
  5. Step 5: Solve for x
    x = 4,210,400.77/2,687.65
  6. Step 6: Final answer
    x = 1,566.57

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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.