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Finding the Fourth Proportional to 2,951, 4,426.92 and 1,002.68

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Solution

The fourth proportional to 2,951, 4,426.92 and 1,002.68 is: 1,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951 : 4,426.92 = 1,002.68 : x
  2. Step 2: Convert to fraction form
    2,951/4,426.92 = 1,002.68/x
  3. Step 3: Cross multiply
    2,951x = 4,426.92 × 1,002.68
  4. Step 4: Simplify right side
    2,951x = 4,438,784.15
  5. Step 5: Solve for x
    x = 4,438,784.15/2,951
  6. Step 6: Final answer
    x = 1,504.16

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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.