Home / 2,182.05-3,271.10-882.63

Finding the Fourth Proportional to 2,182.05, 3,271.10 and 882.63

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Solution

The fourth proportional to 2,182.05, 3,271.10 and 882.63 is: 1,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.05 : 3,271.10 = 882.63 : x
  2. Step 2: Convert to fraction form
    2,182.05/3,271.10 = 882.63/x
  3. Step 3: Cross multiply
    2,182.05x = 3,271.10 × 882.63
  4. Step 4: Simplify right side
    2,182.05x = 2,887,166.58
  5. Step 5: Solve for x
    x = 2,887,166.58/2,182.05
  6. Step 6: Final answer
    x = 1,323.14

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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.