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Finding the Fourth Proportional to 4,448.70, 6,673.32 and 1,161.90

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Solution

The fourth proportional to 4,448.70, 6,673.32 and 1,161.90 is: 1,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448.70 : 6,673.32 = 1,161.90 : x
  2. Step 2: Convert to fraction form
    4,448.70/6,673.32 = 1,161.90/x
  3. Step 3: Cross multiply
    4,448.70x = 6,673.32 × 1,161.90
  4. Step 4: Simplify right side
    4,448.70x = 7,753,730.51
  5. Step 5: Solve for x
    x = 7,753,730.51/4,448.70
  6. Step 6: Final answer
    x = 1,742.92

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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.