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Finding the Fourth Proportional to 2,260.67, 3,390.60 and 1,027.79

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Solution

The fourth proportional to 2,260.67, 3,390.60 and 1,027.79 is: 1,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.67 : 3,390.60 = 1,027.79 : x
  2. Step 2: Convert to fraction form
    2,260.67/3,390.60 = 1,027.79/x
  3. Step 3: Cross multiply
    2,260.67x = 3,390.60 × 1,027.79
  4. Step 4: Simplify right side
    2,260.67x = 3,484,824.77
  5. Step 5: Solve for x
    x = 3,484,824.77/2,260.67
  6. Step 6: Final answer
    x = 1,541.50

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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.