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Finding the Fourth Proportional to 2,843.88, 4,260.06 and 1,473

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Solution

The fourth proportional to 2,843.88, 4,260.06 and 1,473 is: 2,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.88 : 4,260.06 = 1,473 : x
  2. Step 2: Convert to fraction form
    2,843.88/4,260.06 = 1,473/x
  3. Step 3: Cross multiply
    2,843.88x = 4,260.06 × 1,473
  4. Step 4: Simplify right side
    2,843.88x = 6,275,068.38
  5. Step 5: Solve for x
    x = 6,275,068.38/2,843.88
  6. Step 6: Final answer
    x = 2,206.52

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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.