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Finding the Fourth Proportional to 2,153.05, 2,972.33 and 1,448.60

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Solution

The fourth proportional to 2,153.05, 2,972.33 and 1,448.60 is: 1,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.05 : 2,972.33 = 1,448.60 : x
  2. Step 2: Convert to fraction form
    2,153.05/2,972.33 = 1,448.60/x
  3. Step 3: Cross multiply
    2,153.05x = 2,972.33 × 1,448.60
  4. Step 4: Simplify right side
    2,153.05x = 4,305,708.71
  5. Step 5: Solve for x
    x = 4,305,708.71/2,153.05
  6. Step 6: Final answer
    x = 1,999.82

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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.