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Finding the Fourth Proportional to 1,526.33, 2,103.26 and 994.61

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Solution

The fourth proportional to 1,526.33, 2,103.26 and 994.61 is: 1,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.33 : 2,103.26 = 994.61 : x
  2. Step 2: Convert to fraction form
    1,526.33/2,103.26 = 994.61/x
  3. Step 3: Cross multiply
    1,526.33x = 2,103.26 × 994.61
  4. Step 4: Simplify right side
    1,526.33x = 2,091,923.71
  5. Step 5: Solve for x
    x = 2,091,923.71/1,526.33
  6. Step 6: Final answer
    x = 1,370.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.