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Finding the Fourth Proportional to 1,515.98, 2,092.03 and 852.84

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Solution

The fourth proportional to 1,515.98, 2,092.03 and 852.84 is: 1,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.98 : 2,092.03 = 852.84 : x
  2. Step 2: Convert to fraction form
    1,515.98/2,092.03 = 852.84/x
  3. Step 3: Cross multiply
    1,515.98x = 2,092.03 × 852.84
  4. Step 4: Simplify right side
    1,515.98x = 1,784,166.87
  5. Step 5: Solve for x
    x = 1,784,166.87/1,515.98
  6. Step 6: Final answer
    x = 1,176.91

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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.