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Finding the Fourth Proportional to 2,143.38, 2,959.20 and 1,645.05

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Solution

The fourth proportional to 2,143.38, 2,959.20 and 1,645.05 is: 2,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.38 : 2,959.20 = 1,645.05 : x
  2. Step 2: Convert to fraction form
    2,143.38/2,959.20 = 1,645.05/x
  3. Step 3: Cross multiply
    2,143.38x = 2,959.20 × 1,645.05
  4. Step 4: Simplify right side
    2,143.38x = 4,868,031.96
  5. Step 5: Solve for x
    x = 4,868,031.96/2,143.38
  6. Step 6: Final answer
    x = 2,271.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.