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Finding the Fourth Proportional to 1,960.74, 2,705.82 and 1,076.58

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Solution

The fourth proportional to 1,960.74, 2,705.82 and 1,076.58 is: 1,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.74 : 2,705.82 = 1,076.58 : x
  2. Step 2: Convert to fraction form
    1,960.74/2,705.82 = 1,076.58/x
  3. Step 3: Cross multiply
    1,960.74x = 2,705.82 × 1,076.58
  4. Step 4: Simplify right side
    1,960.74x = 2,913,031.70
  5. Step 5: Solve for x
    x = 2,913,031.70/1,960.74
  6. Step 6: Final answer
    x = 1,485.68

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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.