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Finding the Fourth Proportional to 2,452.96, 3,676.69 and 970.81

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Solution

The fourth proportional to 2,452.96, 3,676.69 and 970.81 is: 1,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.96 : 3,676.69 = 970.81 : x
  2. Step 2: Convert to fraction form
    2,452.96/3,676.69 = 970.81/x
  3. Step 3: Cross multiply
    2,452.96x = 3,676.69 × 970.81
  4. Step 4: Simplify right side
    2,452.96x = 3,569,359.44
  5. Step 5: Solve for x
    x = 3,569,359.44/2,452.96
  6. Step 6: Final answer
    x = 1,455.13

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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.