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Finding the Fourth Proportional to 4,785.92, 7,178.88 and 2,048

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Solution

The fourth proportional to 4,785.92, 7,178.88 and 2,048 is: 3,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.92 : 7,178.88 = 2,048 : x
  2. Step 2: Convert to fraction form
    4,785.92/7,178.88 = 2,048/x
  3. Step 3: Cross multiply
    4,785.92x = 7,178.88 × 2,048
  4. Step 4: Simplify right side
    4,785.92x = 14,702,346.24
  5. Step 5: Solve for x
    x = 14,702,346.24/4,785.92
  6. Step 6: Final answer
    x = 3,072

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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.