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Finding the Fourth Proportional to 1,515.94, 2,092.06 and 852.82

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Solution

The fourth proportional to 1,515.94, 2,092.06 and 852.82 is: 1,176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.94 : 2,092.06 = 852.82 : x
  2. Step 2: Convert to fraction form
    1,515.94/2,092.06 = 852.82/x
  3. Step 3: Cross multiply
    1,515.94x = 2,092.06 × 852.82
  4. Step 4: Simplify right side
    1,515.94x = 1,784,150.61
  5. Step 5: Solve for x
    x = 1,784,150.61/1,515.94
  6. Step 6: Final answer
    x = 1,176.93

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