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Finding the Fourth Proportional to 1,520.17, 2,097.82 and 857.24

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Solution

The fourth proportional to 1,520.17, 2,097.82 and 857.24 is: 1,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.17 : 2,097.82 = 857.24 : x
  2. Step 2: Convert to fraction form
    1,520.17/2,097.82 = 857.24/x
  3. Step 3: Cross multiply
    1,520.17x = 2,097.82 × 857.24
  4. Step 4: Simplify right side
    1,520.17x = 1,798,326.28
  5. Step 5: Solve for x
    x = 1,798,326.28/1,520.17
  6. Step 6: Final answer
    x = 1,182.98

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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.