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Finding the Fourth Proportional to 3,047.30, 4,203.02 and 2,103.38

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Solution

The fourth proportional to 3,047.30, 4,203.02 and 2,103.38 is: 2,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.30 : 4,203.02 = 2,103.38 : x
  2. Step 2: Convert to fraction form
    3,047.30/4,203.02 = 2,103.38/x
  3. Step 3: Cross multiply
    3,047.30x = 4,203.02 × 2,103.38
  4. Step 4: Simplify right side
    3,047.30x = 8,840,548.21
  5. Step 5: Solve for x
    x = 8,840,548.21/3,047.30
  6. Step 6: Final answer
    x = 2,901.11

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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.