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Finding the Fourth Proportional to 1,560.13, 2,152.97 and 851.96

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Solution

The fourth proportional to 1,560.13, 2,152.97 and 851.96 is: 1,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.13 : 2,152.97 = 851.96 : x
  2. Step 2: Convert to fraction form
    1,560.13/2,152.97 = 851.96/x
  3. Step 3: Cross multiply
    1,560.13x = 2,152.97 × 851.96
  4. Step 4: Simplify right side
    1,560.13x = 1,834,244.32
  5. Step 5: Solve for x
    x = 1,834,244.32/1,560.13
  6. Step 6: Final answer
    x = 1,175.70

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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.