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Finding the Fourth Proportional to 2,065.64, 2,850.55 and 1,134.14

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Solution

The fourth proportional to 2,065.64, 2,850.55 and 1,134.14 is: 1,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.64 : 2,850.55 = 1,134.14 : x
  2. Step 2: Convert to fraction form
    2,065.64/2,850.55 = 1,134.14/x
  3. Step 3: Cross multiply
    2,065.64x = 2,850.55 × 1,134.14
  4. Step 4: Simplify right side
    2,065.64x = 3,232,922.78
  5. Step 5: Solve for x
    x = 3,232,922.78/2,065.64
  6. Step 6: Final answer
    x = 1,565.09

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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.