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Finding the Fourth Proportional to 1,515.65, 2,091.66 and 852.49

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Solution

The fourth proportional to 1,515.65, 2,091.66 and 852.49 is: 1,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.65 : 2,091.66 = 852.49 : x
  2. Step 2: Convert to fraction form
    1,515.65/2,091.66 = 852.49/x
  3. Step 3: Cross multiply
    1,515.65x = 2,091.66 × 852.49
  4. Step 4: Simplify right side
    1,515.65x = 1,783,119.23
  5. Step 5: Solve for x
    x = 1,783,119.23/1,515.65
  6. Step 6: Final answer
    x = 1,176.47

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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.