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Finding the Fourth Proportional to 2,064.80, 2,844.48 and 1,673.12

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Solution

The fourth proportional to 2,064.80, 2,844.48 and 1,673.12 is: 2,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.80 : 2,844.48 = 1,673.12 : x
  2. Step 2: Convert to fraction form
    2,064.80/2,844.48 = 1,673.12/x
  3. Step 3: Cross multiply
    2,064.80x = 2,844.48 × 1,673.12
  4. Step 4: Simplify right side
    2,064.80x = 4,759,156.38
  5. Step 5: Solve for x
    x = 4,759,156.38/2,064.80
  6. Step 6: Final answer
    x = 2,304.90

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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.