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Finding the Fourth Proportional to 3,007.94, 4,511.07 and 928.10

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Solution

The fourth proportional to 3,007.94, 4,511.07 and 928.10 is: 1,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.94 : 4,511.07 = 928.10 : x
  2. Step 2: Convert to fraction form
    3,007.94/4,511.07 = 928.10/x
  3. Step 3: Cross multiply
    3,007.94x = 4,511.07 × 928.10
  4. Step 4: Simplify right side
    3,007.94x = 4,186,724.07
  5. Step 5: Solve for x
    x = 4,186,724.07/3,007.94
  6. Step 6: Final answer
    x = 1,391.89

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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.