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Finding the Fourth Proportional to 3,048.02, 4,206.41 and 1,789.13

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Solution

The fourth proportional to 3,048.02, 4,206.41 and 1,789.13 is: 2,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.02 : 4,206.41 = 1,789.13 : x
  2. Step 2: Convert to fraction form
    3,048.02/4,206.41 = 1,789.13/x
  3. Step 3: Cross multiply
    3,048.02x = 4,206.41 × 1,789.13
  4. Step 4: Simplify right side
    3,048.02x = 7,525,784.35
  5. Step 5: Solve for x
    x = 7,525,784.35/3,048.02
  6. Step 6: Final answer
    x = 2,469.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.