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Finding the Fourth Proportional to 1,519.76, 2,097 and 890.36

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Solution

The fourth proportional to 1,519.76, 2,097 and 890.36 is: 1,228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.76 : 2,097 = 890.36 : x
  2. Step 2: Convert to fraction form
    1,519.76/2,097 = 890.36/x
  3. Step 3: Cross multiply
    1,519.76x = 2,097 × 890.36
  4. Step 4: Simplify right side
    1,519.76x = 1,867,084.92
  5. Step 5: Solve for x
    x = 1,867,084.92/1,519.76
  6. Step 6: Final answer
    x = 1,228.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.