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Finding the Fourth Proportional to 3,006.67, 4,508.65 and 926.93

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Solution

The fourth proportional to 3,006.67, 4,508.65 and 926.93 is: 1,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.67 : 4,508.65 = 926.93 : x
  2. Step 2: Convert to fraction form
    3,006.67/4,508.65 = 926.93/x
  3. Step 3: Cross multiply
    3,006.67x = 4,508.65 × 926.93
  4. Step 4: Simplify right side
    3,006.67x = 4,179,202.94
  5. Step 5: Solve for x
    x = 4,179,202.94/3,006.67
  6. Step 6: Final answer
    x = 1,389.98

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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.