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Finding the Fourth Proportional to 1,443.02, 2,164.34 and 749.30

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Solution

The fourth proportional to 1,443.02, 2,164.34 and 749.30 is: 1,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.02 : 2,164.34 = 749.30 : x
  2. Step 2: Convert to fraction form
    1,443.02/2,164.34 = 749.30/x
  3. Step 3: Cross multiply
    1,443.02x = 2,164.34 × 749.30
  4. Step 4: Simplify right side
    1,443.02x = 1,621,739.96
  5. Step 5: Solve for x
    x = 1,621,739.96/1,443.02
  6. Step 6: Final answer
    x = 1,123.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.