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Finding the Fourth Proportional to 3,006.64, 4,508.70 and 926.12

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Solution

The fourth proportional to 3,006.64, 4,508.70 and 926.12 is: 1,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.64 : 4,508.70 = 926.12 : x
  2. Step 2: Convert to fraction form
    3,006.64/4,508.70 = 926.12/x
  3. Step 3: Cross multiply
    3,006.64x = 4,508.70 × 926.12
  4. Step 4: Simplify right side
    3,006.64x = 4,175,597.24
  5. Step 5: Solve for x
    x = 4,175,597.24/3,006.64
  6. Step 6: Final answer
    x = 1,388.79

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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.