Home / 2,782.08-4,172.52-1,138.20

Finding the Fourth Proportional to 2,782.08, 4,172.52 and 1,138.20

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Solution

The fourth proportional to 2,782.08, 4,172.52 and 1,138.20 is: 1,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.08 : 4,172.52 = 1,138.20 : x
  2. Step 2: Convert to fraction form
    2,782.08/4,172.52 = 1,138.20/x
  3. Step 3: Cross multiply
    2,782.08x = 4,172.52 × 1,138.20
  4. Step 4: Simplify right side
    2,782.08x = 4,749,162.26
  5. Step 5: Solve for x
    x = 4,749,162.26/2,782.08
  6. Step 6: Final answer
    x = 1,707.05

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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.