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Finding the Fourth Proportional to 3,167.11, 4,751.33 and 975.73

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Solution

The fourth proportional to 3,167.11, 4,751.33 and 975.73 is: 1,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.11 : 4,751.33 = 975.73 : x
  2. Step 2: Convert to fraction form
    3,167.11/4,751.33 = 975.73/x
  3. Step 3: Cross multiply
    3,167.11x = 4,751.33 × 975.73
  4. Step 4: Simplify right side
    3,167.11x = 4,636,010.34
  5. Step 5: Solve for x
    x = 4,636,010.34/3,167.11
  6. Step 6: Final answer
    x = 1,463.80

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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.