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Finding the Fourth Proportional to 1,715.48, 2,571.24 and 789.10

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Solution

The fourth proportional to 1,715.48, 2,571.24 and 789.10 is: 1,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.48 : 2,571.24 = 789.10 : x
  2. Step 2: Convert to fraction form
    1,715.48/2,571.24 = 789.10/x
  3. Step 3: Cross multiply
    1,715.48x = 2,571.24 × 789.10
  4. Step 4: Simplify right side
    1,715.48x = 2,028,955.17
  5. Step 5: Solve for x
    x = 2,028,955.17/1,715.48
  6. Step 6: Final answer
    x = 1,182.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.