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Finding the Fourth Proportional to 2,153.94, 2,972.49 and 1,222.50

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Solution

The fourth proportional to 2,153.94, 2,972.49 and 1,222.50 is: 1,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.94 : 2,972.49 = 1,222.50 : x
  2. Step 2: Convert to fraction form
    2,153.94/2,972.49 = 1,222.50/x
  3. Step 3: Cross multiply
    2,153.94x = 2,972.49 × 1,222.50
  4. Step 4: Simplify right side
    2,153.94x = 3,633,869.03
  5. Step 5: Solve for x
    x = 3,633,869.03/2,153.94
  6. Step 6: Final answer
    x = 1,687.08

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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.