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Finding the Fourth Proportional to 1,515.56, 2,091.35 and 852.28

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Solution

The fourth proportional to 1,515.56, 2,091.35 and 852.28 is: 1,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.56 : 2,091.35 = 852.28 : x
  2. Step 2: Convert to fraction form
    1,515.56/2,091.35 = 852.28/x
  3. Step 3: Cross multiply
    1,515.56x = 2,091.35 × 852.28
  4. Step 4: Simplify right side
    1,515.56x = 1,782,412.68
  5. Step 5: Solve for x
    x = 1,782,412.68/1,515.56
  6. Step 6: Final answer
    x = 1,176.08

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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.