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Finding the Fourth Proportional to 1,960.46, 2,705.34 and 1,076.24

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Solution

The fourth proportional to 1,960.46, 2,705.34 and 1,076.24 is: 1,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.46 : 2,705.34 = 1,076.24 : x
  2. Step 2: Convert to fraction form
    1,960.46/2,705.34 = 1,076.24/x
  3. Step 3: Cross multiply
    1,960.46x = 2,705.34 × 1,076.24
  4. Step 4: Simplify right side
    1,960.46x = 2,911,595.12
  5. Step 5: Solve for x
    x = 2,911,595.12/1,960.46
  6. Step 6: Final answer
    x = 1,485.16

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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.