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Finding the Fourth Proportional to 3,051.24, 4,576.82 and 971.37

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Solution

The fourth proportional to 3,051.24, 4,576.82 and 971.37 is: 1,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.24 : 4,576.82 = 971.37 : x
  2. Step 2: Convert to fraction form
    3,051.24/4,576.82 = 971.37/x
  3. Step 3: Cross multiply
    3,051.24x = 4,576.82 × 971.37
  4. Step 4: Simplify right side
    3,051.24x = 4,445,780.79
  5. Step 5: Solve for x
    x = 4,445,780.79/3,051.24
  6. Step 6: Final answer
    x = 1,457.04

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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.