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Finding the Fourth Proportional to 1,781.06, 2,450.05 and 1,448.76

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Solution

The fourth proportional to 1,781.06, 2,450.05 and 1,448.76 is: 1,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.06 : 2,450.05 = 1,448.76 : x
  2. Step 2: Convert to fraction form
    1,781.06/2,450.05 = 1,448.76/x
  3. Step 3: Cross multiply
    1,781.06x = 2,450.05 × 1,448.76
  4. Step 4: Simplify right side
    1,781.06x = 3,549,534.44
  5. Step 5: Solve for x
    x = 3,549,534.44/1,781.06
  6. Step 6: Final answer
    x = 1,992.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.