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Finding the Fourth Proportional to 1,960.25, 2,705.27 and 1,132.25

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Solution

The fourth proportional to 1,960.25, 2,705.27 and 1,132.25 is: 1,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.25 : 2,705.27 = 1,132.25 : x
  2. Step 2: Convert to fraction form
    1,960.25/2,705.27 = 1,132.25/x
  3. Step 3: Cross multiply
    1,960.25x = 2,705.27 × 1,132.25
  4. Step 4: Simplify right side
    1,960.25x = 3,063,041.96
  5. Step 5: Solve for x
    x = 3,063,041.96/1,960.25
  6. Step 6: Final answer
    x = 1,562.58

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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.