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Finding the Fourth Proportional to 2,065.53, 2,850.48 and 1,134.03

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Solution

The fourth proportional to 2,065.53, 2,850.48 and 1,134.03 is: 1,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.53 : 2,850.48 = 1,134.03 : x
  2. Step 2: Convert to fraction form
    2,065.53/2,850.48 = 1,134.03/x
  3. Step 3: Cross multiply
    2,065.53x = 2,850.48 × 1,134.03
  4. Step 4: Simplify right side
    2,065.53x = 3,232,529.83
  5. Step 5: Solve for x
    x = 3,232,529.83/2,065.53
  6. Step 6: Final answer
    x = 1,564.99

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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.