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Finding the Fourth Proportional to 2,032.80, 3,047.04 and 1,455.36

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Solution

The fourth proportional to 2,032.80, 3,047.04 and 1,455.36 is: 2,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.80 : 3,047.04 = 1,455.36 : x
  2. Step 2: Convert to fraction form
    2,032.80/3,047.04 = 1,455.36/x
  3. Step 3: Cross multiply
    2,032.80x = 3,047.04 × 1,455.36
  4. Step 4: Simplify right side
    2,032.80x = 4,434,540.13
  5. Step 5: Solve for x
    x = 4,434,540.13/2,032.80
  6. Step 6: Final answer
    x = 2,181.49

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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.