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Finding the Fourth Proportional to 1,515.26, 2,091 and 852.08

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Solution

The fourth proportional to 1,515.26, 2,091 and 852.08 is: 1,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.26 : 2,091 = 852.08 : x
  2. Step 2: Convert to fraction form
    1,515.26/2,091 = 852.08/x
  3. Step 3: Cross multiply
    1,515.26x = 2,091 × 852.08
  4. Step 4: Simplify right side
    1,515.26x = 1,781,699.28
  5. Step 5: Solve for x
    x = 1,781,699.28/1,515.26
  6. Step 6: Final answer
    x = 1,175.84

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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.