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Finding the Fourth Proportional to 3,121.54, 4,681.67 and 929.68

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Solution

The fourth proportional to 3,121.54, 4,681.67 and 929.68 is: 1,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.54 : 4,681.67 = 929.68 : x
  2. Step 2: Convert to fraction form
    3,121.54/4,681.67 = 929.68/x
  3. Step 3: Cross multiply
    3,121.54x = 4,681.67 × 929.68
  4. Step 4: Simplify right side
    3,121.54x = 4,352,438.61
  5. Step 5: Solve for x
    x = 4,352,438.61/3,121.54
  6. Step 6: Final answer
    x = 1,394.33

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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.