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Finding the Fourth Proportional to 1,878.72, 2,818.08 and 852

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Solution

The fourth proportional to 1,878.72, 2,818.08 and 852 is: 1,278

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.72 : 2,818.08 = 852 : x
  2. Step 2: Convert to fraction form
    1,878.72/2,818.08 = 852/x
  3. Step 3: Cross multiply
    1,878.72x = 2,818.08 × 852
  4. Step 4: Simplify right side
    1,878.72x = 2,401,004.16
  5. Step 5: Solve for x
    x = 2,401,004.16/1,878.72
  6. Step 6: Final answer
    x = 1,278

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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.