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Finding the Fourth Proportional to 2,681, 4,023.66 and 1,382.84

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Solution

The fourth proportional to 2,681, 4,023.66 and 1,382.84 is: 2,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681 : 4,023.66 = 1,382.84 : x
  2. Step 2: Convert to fraction form
    2,681/4,023.66 = 1,382.84/x
  3. Step 3: Cross multiply
    2,681x = 4,023.66 × 1,382.84
  4. Step 4: Simplify right side
    2,681x = 5,564,077.99
  5. Step 5: Solve for x
    x = 5,564,077.99/2,681
  6. Step 6: Final answer
    x = 2,075.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.