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Finding the Fourth Proportional to 4,934.06, 7,401.81 and 1,646.54

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Solution

The fourth proportional to 4,934.06, 7,401.81 and 1,646.54 is: 2,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.06 : 7,401.81 = 1,646.54 : x
  2. Step 2: Convert to fraction form
    4,934.06/7,401.81 = 1,646.54/x
  3. Step 3: Cross multiply
    4,934.06x = 7,401.81 × 1,646.54
  4. Step 4: Simplify right side
    4,934.06x = 12,187,376.24
  5. Step 5: Solve for x
    x = 12,187,376.24/4,934.06
  6. Step 6: Final answer
    x = 2,470.05

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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.