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Finding the Fourth Proportional to 2,065.83, 2,850.35 and 1,182.12

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Solution

The fourth proportional to 2,065.83, 2,850.35 and 1,182.12 is: 1,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.83 : 2,850.35 = 1,182.12 : x
  2. Step 2: Convert to fraction form
    2,065.83/2,850.35 = 1,182.12/x
  3. Step 3: Cross multiply
    2,065.83x = 2,850.35 × 1,182.12
  4. Step 4: Simplify right side
    2,065.83x = 3,369,455.74
  5. Step 5: Solve for x
    x = 3,369,455.74/2,065.83
  6. Step 6: Final answer
    x = 1,631.04

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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.