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Finding the Fourth Proportional to 2,074.27, 3,111.89 and 687.50

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Solution

The fourth proportional to 2,074.27, 3,111.89 and 687.50 is: 1,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.27 : 3,111.89 = 687.50 : x
  2. Step 2: Convert to fraction form
    2,074.27/3,111.89 = 687.50/x
  3. Step 3: Cross multiply
    2,074.27x = 3,111.89 × 687.50
  4. Step 4: Simplify right side
    2,074.27x = 2,139,428.72
  5. Step 5: Solve for x
    x = 2,139,428.72/2,074.27
  6. Step 6: Final answer
    x = 1,031.41

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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.