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Finding the Fourth Proportional to 3,064.61, 4,230.03 and 1,806.40

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Solution

The fourth proportional to 3,064.61, 4,230.03 and 1,806.40 is: 2,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.61 : 4,230.03 = 1,806.40 : x
  2. Step 2: Convert to fraction form
    3,064.61/4,230.03 = 1,806.40/x
  3. Step 3: Cross multiply
    3,064.61x = 4,230.03 × 1,806.40
  4. Step 4: Simplify right side
    3,064.61x = 7,641,105.04
  5. Step 5: Solve for x
    x = 7,641,105.04/3,064.61
  6. Step 6: Final answer
    x = 2,493.34

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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.