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Finding the Fourth Proportional to 2,856.83, 4,286.12 and 1,357.01

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Solution

The fourth proportional to 2,856.83, 4,286.12 and 1,357.01 is: 2,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.83 : 4,286.12 = 1,357.01 : x
  2. Step 2: Convert to fraction form
    2,856.83/4,286.12 = 1,357.01/x
  3. Step 3: Cross multiply
    2,856.83x = 4,286.12 × 1,357.01
  4. Step 4: Simplify right side
    2,856.83x = 5,816,307.70
  5. Step 5: Solve for x
    x = 5,816,307.70/2,856.83
  6. Step 6: Final answer
    x = 2,035.93

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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.