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Finding the Fourth Proportional to 1,698.09, 2,528.21 and 1,673.79

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Solution

The fourth proportional to 1,698.09, 2,528.21 and 1,673.79 is: 2,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.09 : 2,528.21 = 1,673.79 : x
  2. Step 2: Convert to fraction form
    1,698.09/2,528.21 = 1,673.79/x
  3. Step 3: Cross multiply
    1,698.09x = 2,528.21 × 1,673.79
  4. Step 4: Simplify right side
    1,698.09x = 4,231,684.25
  5. Step 5: Solve for x
    x = 4,231,684.25/1,698.09
  6. Step 6: Final answer
    x = 2,492.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.