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Finding the Fourth Proportional to 2,488.89, 3,730.73 and 928.27

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Solution

The fourth proportional to 2,488.89, 3,730.73 and 928.27 is: 1,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.89 : 3,730.73 = 928.27 : x
  2. Step 2: Convert to fraction form
    2,488.89/3,730.73 = 928.27/x
  3. Step 3: Cross multiply
    2,488.89x = 3,730.73 × 928.27
  4. Step 4: Simplify right side
    2,488.89x = 3,463,106.08
  5. Step 5: Solve for x
    x = 3,463,106.08/2,488.89
  6. Step 6: Final answer
    x = 1,391.43

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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.