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Finding the Fourth Proportional to 2,959.80, 4,151.40 and 2,959.80

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Solution

The fourth proportional to 2,959.80, 4,151.40 and 2,959.80 is: 4,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.80 : 4,151.40 = 2,959.80 : x
  2. Step 2: Convert to fraction form
    2,959.80/4,151.40 = 2,959.80/x
  3. Step 3: Cross multiply
    2,959.80x = 4,151.40 × 2,959.80
  4. Step 4: Simplify right side
    2,959.80x = 12,287,313.72
  5. Step 5: Solve for x
    x = 12,287,313.72/2,959.80
  6. Step 6: Final answer
    x = 4,151.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.