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Finding the Fourth Proportional to 2,028.68, 3,041.10 and 875.24

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Solution

The fourth proportional to 2,028.68, 3,041.10 and 875.24 is: 1,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.68 : 3,041.10 = 875.24 : x
  2. Step 2: Convert to fraction form
    2,028.68/3,041.10 = 875.24/x
  3. Step 3: Cross multiply
    2,028.68x = 3,041.10 × 875.24
  4. Step 4: Simplify right side
    2,028.68x = 2,661,692.36
  5. Step 5: Solve for x
    x = 2,661,692.36/2,028.68
  6. Step 6: Final answer
    x = 1,312.03

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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.