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Finding the Fourth Proportional to 1,699.92, 2,343.60 and 1,604.52

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Solution

The fourth proportional to 1,699.92, 2,343.60 and 1,604.52 is: 2,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.92 : 2,343.60 = 1,604.52 : x
  2. Step 2: Convert to fraction form
    1,699.92/2,343.60 = 1,604.52/x
  3. Step 3: Cross multiply
    1,699.92x = 2,343.60 × 1,604.52
  4. Step 4: Simplify right side
    1,699.92x = 3,760,353.07
  5. Step 5: Solve for x
    x = 3,760,353.07/1,699.92
  6. Step 6: Final answer
    x = 2,212.08

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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.