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Finding the Fourth Proportional to 2,583.38, 3,875.67 and 852

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Solution

The fourth proportional to 2,583.38, 3,875.67 and 852 is: 1,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.38 : 3,875.67 = 852 : x
  2. Step 2: Convert to fraction form
    2,583.38/3,875.67 = 852/x
  3. Step 3: Cross multiply
    2,583.38x = 3,875.67 × 852
  4. Step 4: Simplify right side
    2,583.38x = 3,302,070.84
  5. Step 5: Solve for x
    x = 3,302,070.84/2,583.38
  6. Step 6: Final answer
    x = 1,278.20

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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.