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Finding the Fourth Proportional to 4,299.48, 6,448.74 and 1,179.72

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Solution

The fourth proportional to 4,299.48, 6,448.74 and 1,179.72 is: 1,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.48 : 6,448.74 = 1,179.72 : x
  2. Step 2: Convert to fraction form
    4,299.48/6,448.74 = 1,179.72/x
  3. Step 3: Cross multiply
    4,299.48x = 6,448.74 × 1,179.72
  4. Step 4: Simplify right side
    4,299.48x = 7,607,707.55
  5. Step 5: Solve for x
    x = 7,607,707.55/4,299.48
  6. Step 6: Final answer
    x = 1,769.45

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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.