Home / 2,029.24-3,048.72-1,164.16

Finding the Fourth Proportional to 2,029.24, 3,048.72 and 1,164.16

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Solution

The fourth proportional to 2,029.24, 3,048.72 and 1,164.16 is: 1,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.24 : 3,048.72 = 1,164.16 : x
  2. Step 2: Convert to fraction form
    2,029.24/3,048.72 = 1,164.16/x
  3. Step 3: Cross multiply
    2,029.24x = 3,048.72 × 1,164.16
  4. Step 4: Simplify right side
    2,029.24x = 3,549,197.88
  5. Step 5: Solve for x
    x = 3,549,197.88/2,029.24
  6. Step 6: Final answer
    x = 1,749.03

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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.