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Finding the Fourth Proportional to 1,749.94, 2,636.96 and 1,448.55

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Solution

The fourth proportional to 1,749.94, 2,636.96 and 1,448.55 is: 2,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.94 : 2,636.96 = 1,448.55 : x
  2. Step 2: Convert to fraction form
    1,749.94/2,636.96 = 1,448.55/x
  3. Step 3: Cross multiply
    1,749.94x = 2,636.96 × 1,448.55
  4. Step 4: Simplify right side
    1,749.94x = 3,819,761.17
  5. Step 5: Solve for x
    x = 3,819,761.17/1,749.94
  6. Step 6: Final answer
    x = 2,182.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.