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Finding the Fourth Proportional to 3,050.94, 4,576.33 and 971.07

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Solution

The fourth proportional to 3,050.94, 4,576.33 and 971.07 is: 1,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.94 : 4,576.33 = 971.07 : x
  2. Step 2: Convert to fraction form
    3,050.94/4,576.33 = 971.07/x
  3. Step 3: Cross multiply
    3,050.94x = 4,576.33 × 971.07
  4. Step 4: Simplify right side
    3,050.94x = 4,443,946.57
  5. Step 5: Solve for x
    x = 4,443,946.57/3,050.94
  6. Step 6: Final answer
    x = 1,456.58

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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.