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Finding the Fourth Proportional to 1,515.64, 2,091.46 and 852.60

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Solution

The fourth proportional to 1,515.64, 2,091.46 and 852.60 is: 1,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.64 : 2,091.46 = 852.60 : x
  2. Step 2: Convert to fraction form
    1,515.64/2,091.46 = 852.60/x
  3. Step 3: Cross multiply
    1,515.64x = 2,091.46 × 852.60
  4. Step 4: Simplify right side
    1,515.64x = 1,783,179.02
  5. Step 5: Solve for x
    x = 1,783,179.02/1,515.64
  6. Step 6: Final answer
    x = 1,176.52

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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.