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Finding the Fourth Proportional to 4,784.72, 7,178.07 and 1,664.87

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Solution

The fourth proportional to 4,784.72, 7,178.07 and 1,664.87 is: 2,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.72 : 7,178.07 = 1,664.87 : x
  2. Step 2: Convert to fraction form
    4,784.72/7,178.07 = 1,664.87/x
  3. Step 3: Cross multiply
    4,784.72x = 7,178.07 × 1,664.87
  4. Step 4: Simplify right side
    4,784.72x = 11,950,553.40
  5. Step 5: Solve for x
    x = 11,950,553.40/4,784.72
  6. Step 6: Final answer
    x = 2,497.65

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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.