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Finding the Fourth Proportional to 1,746.73, 2,620.23 and 448.19

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Solution

The fourth proportional to 1,746.73, 2,620.23 and 448.19 is: 672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.73 : 2,620.23 = 448.19 : x
  2. Step 2: Convert to fraction form
    1,746.73/2,620.23 = 448.19/x
  3. Step 3: Cross multiply
    1,746.73x = 2,620.23 × 448.19
  4. Step 4: Simplify right side
    1,746.73x = 1,174,360.88
  5. Step 5: Solve for x
    x = 1,174,360.88/1,746.73
  6. Step 6: Final answer
    x = 672.32

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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.