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Finding the Fourth Proportional to 2,657.97, 3,668.04 and 1,479

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Solution

The fourth proportional to 2,657.97, 3,668.04 and 1,479 is: 2,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.97 : 3,668.04 = 1,479 : x
  2. Step 2: Convert to fraction form
    2,657.97/3,668.04 = 1,479/x
  3. Step 3: Cross multiply
    2,657.97x = 3,668.04 × 1,479
  4. Step 4: Simplify right side
    2,657.97x = 5,425,031.16
  5. Step 5: Solve for x
    x = 5,425,031.16/2,657.97
  6. Step 6: Final answer
    x = 2,041.04

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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.