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Finding the Fourth Proportional to 3,051.02, 4,576.70 and 971.19

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Solution

The fourth proportional to 3,051.02, 4,576.70 and 971.19 is: 1,456.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.02 : 4,576.70 = 971.19 : x
  2. Step 2: Convert to fraction form
    3,051.02/4,576.70 = 971.19/x
  3. Step 3: Cross multiply
    3,051.02x = 4,576.70 × 971.19
  4. Step 4: Simplify right side
    3,051.02x = 4,444,845.27
  5. Step 5: Solve for x
    x = 4,444,845.27/3,051.02
  6. Step 6: Final answer
    x = 1,456.84

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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.