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Finding the Fourth Proportional to 1,873.40, 2,806.04 and 1,668.20

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Solution

The fourth proportional to 1,873.40, 2,806.04 and 1,668.20 is: 2,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.40 : 2,806.04 = 1,668.20 : x
  2. Step 2: Convert to fraction form
    1,873.40/2,806.04 = 1,668.20/x
  3. Step 3: Cross multiply
    1,873.40x = 2,806.04 × 1,668.20
  4. Step 4: Simplify right side
    1,873.40x = 4,681,035.93
  5. Step 5: Solve for x
    x = 4,681,035.93/1,873.40
  6. Step 6: Final answer
    x = 2,498.68

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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.