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Finding the Fourth Proportional to 1,960.96, 2,706.27 and 1,490.16

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Solution

The fourth proportional to 1,960.96, 2,706.27 and 1,490.16 is: 2,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.96 : 2,706.27 = 1,490.16 : x
  2. Step 2: Convert to fraction form
    1,960.96/2,706.27 = 1,490.16/x
  3. Step 3: Cross multiply
    1,960.96x = 2,706.27 × 1,490.16
  4. Step 4: Simplify right side
    1,960.96x = 4,032,775.30
  5. Step 5: Solve for x
    x = 4,032,775.30/1,960.96
  6. Step 6: Final answer
    x = 2,056.53

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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.