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Finding the Fourth Proportional to 2,624.63, 3,934.16 and 980.47

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Solution

The fourth proportional to 2,624.63, 3,934.16 and 980.47 is: 1,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.63 : 3,934.16 = 980.47 : x
  2. Step 2: Convert to fraction form
    2,624.63/3,934.16 = 980.47/x
  3. Step 3: Cross multiply
    2,624.63x = 3,934.16 × 980.47
  4. Step 4: Simplify right side
    2,624.63x = 3,857,301.28
  5. Step 5: Solve for x
    x = 3,857,301.28/2,624.63
  6. Step 6: Final answer
    x = 1,469.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.