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Finding the Fourth Proportional to 2,451.74, 3,676.16 and 971.06

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Solution

The fourth proportional to 2,451.74, 3,676.16 and 971.06 is: 1,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.74 : 3,676.16 = 971.06 : x
  2. Step 2: Convert to fraction form
    2,451.74/3,676.16 = 971.06/x
  3. Step 3: Cross multiply
    2,451.74x = 3,676.16 × 971.06
  4. Step 4: Simplify right side
    2,451.74x = 3,569,771.93
  5. Step 5: Solve for x
    x = 3,569,771.93/2,451.74
  6. Step 6: Final answer
    x = 1,456.02

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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.