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Finding the Fourth Proportional to 3,007.11, 4,509.45 and 926.64

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Solution

The fourth proportional to 3,007.11, 4,509.45 and 926.64 is: 1,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.11 : 4,509.45 = 926.64 : x
  2. Step 2: Convert to fraction form
    3,007.11/4,509.45 = 926.64/x
  3. Step 3: Cross multiply
    3,007.11x = 4,509.45 × 926.64
  4. Step 4: Simplify right side
    3,007.11x = 4,178,636.75
  5. Step 5: Solve for x
    x = 4,178,636.75/3,007.11
  6. Step 6: Final answer
    x = 1,389.59

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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.