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Finding the Fourth Proportional to 2,153.53, 2,969.89 and 1,444.81

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Solution

The fourth proportional to 2,153.53, 2,969.89 and 1,444.81 is: 1,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.53 : 2,969.89 = 1,444.81 : x
  2. Step 2: Convert to fraction form
    2,153.53/2,969.89 = 1,444.81/x
  3. Step 3: Cross multiply
    2,153.53x = 2,969.89 × 1,444.81
  4. Step 4: Simplify right side
    2,153.53x = 4,290,926.77
  5. Step 5: Solve for x
    x = 4,290,926.77/2,153.53
  6. Step 6: Final answer
    x = 1,992.51

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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.