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Finding the Fourth Proportional to 1,270.40, 1,896.44 and 1,084.50

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Solution

The fourth proportional to 1,270.40, 1,896.44 and 1,084.50 is: 1,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.40 : 1,896.44 = 1,084.50 : x
  2. Step 2: Convert to fraction form
    1,270.40/1,896.44 = 1,084.50/x
  3. Step 3: Cross multiply
    1,270.40x = 1,896.44 × 1,084.50
  4. Step 4: Simplify right side
    1,270.40x = 2,056,683.76
  5. Step 5: Solve for x
    x = 2,056,683.76/1,270.40
  6. Step 6: Final answer
    x = 1,618.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.