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Finding the Fourth Proportional to 2,678.16, 4,017.49 and 923.09

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Solution

The fourth proportional to 2,678.16, 4,017.49 and 923.09 is: 1,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.16 : 4,017.49 = 923.09 : x
  2. Step 2: Convert to fraction form
    2,678.16/4,017.49 = 923.09/x
  3. Step 3: Cross multiply
    2,678.16x = 4,017.49 × 923.09
  4. Step 4: Simplify right side
    2,678.16x = 3,708,504.84
  5. Step 5: Solve for x
    x = 3,708,504.84/2,678.16
  6. Step 6: Final answer
    x = 1,384.72

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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.