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Finding the Fourth Proportional to 1,905.27, 2,857.86 and 980.28

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Solution

The fourth proportional to 1,905.27, 2,857.86 and 980.28 is: 1,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.27 : 2,857.86 = 980.28 : x
  2. Step 2: Convert to fraction form
    1,905.27/2,857.86 = 980.28/x
  3. Step 3: Cross multiply
    1,905.27x = 2,857.86 × 980.28
  4. Step 4: Simplify right side
    1,905.27x = 2,801,503.00
  5. Step 5: Solve for x
    x = 2,801,503.00/1,905.27
  6. Step 6: Final answer
    x = 1,470.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.