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Finding the Fourth Proportional to 2,043.92, 3,065.88 and 657.37

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Solution

The fourth proportional to 2,043.92, 3,065.88 and 657.37 is: 986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.92 : 3,065.88 = 657.37 : x
  2. Step 2: Convert to fraction form
    2,043.92/3,065.88 = 657.37/x
  3. Step 3: Cross multiply
    2,043.92x = 3,065.88 × 657.37
  4. Step 4: Simplify right side
    2,043.92x = 2,015,417.54
  5. Step 5: Solve for x
    x = 2,015,417.54/2,043.92
  6. Step 6: Final answer
    x = 986.06

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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.