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Finding the Fourth Proportional to 1,932.02, 2,884.04 and 1,698.48

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Solution

The fourth proportional to 1,932.02, 2,884.04 and 1,698.48 is: 2,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.02 : 2,884.04 = 1,698.48 : x
  2. Step 2: Convert to fraction form
    1,932.02/2,884.04 = 1,698.48/x
  3. Step 3: Cross multiply
    1,932.02x = 2,884.04 × 1,698.48
  4. Step 4: Simplify right side
    1,932.02x = 4,898,484.26
  5. Step 5: Solve for x
    x = 4,898,484.26/1,932.02
  6. Step 6: Final answer
    x = 2,535.42

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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.