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Finding the Fourth Proportional to 2,687.37, 4,030.44 and 739.74

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Solution

The fourth proportional to 2,687.37, 4,030.44 and 739.74 is: 1,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.37 : 4,030.44 = 739.74 : x
  2. Step 2: Convert to fraction form
    2,687.37/4,030.44 = 739.74/x
  3. Step 3: Cross multiply
    2,687.37x = 4,030.44 × 739.74
  4. Step 4: Simplify right side
    2,687.37x = 2,981,477.69
  5. Step 5: Solve for x
    x = 2,981,477.69/2,687.37
  6. Step 6: Final answer
    x = 1,109.44

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1.5x scale

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.