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Finding the Fourth Proportional to 1,246.08, 1,872 and 1,202.40

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Solution

The fourth proportional to 1,246.08, 1,872 and 1,202.40 is: 1,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.08 : 1,872 = 1,202.40 : x
  2. Step 2: Convert to fraction form
    1,246.08/1,872 = 1,202.40/x
  3. Step 3: Cross multiply
    1,246.08x = 1,872 × 1,202.40
  4. Step 4: Simplify right side
    1,246.08x = 2,250,892.80
  5. Step 5: Solve for x
    x = 2,250,892.80/1,246.08
  6. Step 6: Final answer
    x = 1,806.38

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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.