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Finding the Fourth Proportional to 4,488.56, 6,732.74 and 1,201.65

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Solution

The fourth proportional to 4,488.56, 6,732.74 and 1,201.65 is: 1,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.56 : 6,732.74 = 1,201.65 : x
  2. Step 2: Convert to fraction form
    4,488.56/6,732.74 = 1,201.65/x
  3. Step 3: Cross multiply
    4,488.56x = 6,732.74 × 1,201.65
  4. Step 4: Simplify right side
    4,488.56x = 8,090,397.02
  5. Step 5: Solve for x
    x = 8,090,397.02/4,488.56
  6. Step 6: Final answer
    x = 1,802.45

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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.