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Finding the Fourth Proportional to 1,932.21, 2,875.07 and 1,925.73

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Solution

The fourth proportional to 1,932.21, 2,875.07 and 1,925.73 is: 2,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.21 : 2,875.07 = 1,925.73 : x
  2. Step 2: Convert to fraction form
    1,932.21/2,875.07 = 1,925.73/x
  3. Step 3: Cross multiply
    1,932.21x = 2,875.07 × 1,925.73
  4. Step 4: Simplify right side
    1,932.21x = 5,536,613.37
  5. Step 5: Solve for x
    x = 5,536,613.37/1,932.21
  6. Step 6: Final answer
    x = 2,865.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.