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Finding the Fourth Proportional to 2,856.33, 4,284.93 and 1,007.12

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Solution

The fourth proportional to 2,856.33, 4,284.93 and 1,007.12 is: 1,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.33 : 4,284.93 = 1,007.12 : x
  2. Step 2: Convert to fraction form
    2,856.33/4,284.93 = 1,007.12/x
  3. Step 3: Cross multiply
    2,856.33x = 4,284.93 × 1,007.12
  4. Step 4: Simplify right side
    2,856.33x = 4,315,438.70
  5. Step 5: Solve for x
    x = 4,315,438.70/2,856.33
  6. Step 6: Final answer
    x = 1,510.83

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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.