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Finding the Fourth Proportional to 3,005.45, 4,508.40 and 926.90

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Solution

The fourth proportional to 3,005.45, 4,508.40 and 926.90 is: 1,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.45 : 4,508.40 = 926.90 : x
  2. Step 2: Convert to fraction form
    3,005.45/4,508.40 = 926.90/x
  3. Step 3: Cross multiply
    3,005.45x = 4,508.40 × 926.90
  4. Step 4: Simplify right side
    3,005.45x = 4,178,850.71
  5. Step 5: Solve for x
    x = 4,178,850.71/3,005.45
  6. Step 6: Final answer
    x = 1,390.42

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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.