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Finding the Fourth Proportional to 2,764.01, 4,145.46 and 1,357.84

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Solution

The fourth proportional to 2,764.01, 4,145.46 and 1,357.84 is: 2,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.01 : 4,145.46 = 1,357.84 : x
  2. Step 2: Convert to fraction form
    2,764.01/4,145.46 = 1,357.84/x
  3. Step 3: Cross multiply
    2,764.01x = 4,145.46 × 1,357.84
  4. Step 4: Simplify right side
    2,764.01x = 5,628,871.41
  5. Step 5: Solve for x
    x = 5,628,871.41/2,764.01
  6. Step 6: Final answer
    x = 2,036.49

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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.