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Finding the Fourth Proportional to 2,856.41, 4,284.95 and 1,007.14

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Solution

The fourth proportional to 2,856.41, 4,284.95 and 1,007.14 is: 1,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.41 : 4,284.95 = 1,007.14 : x
  2. Step 2: Convert to fraction form
    2,856.41/4,284.95 = 1,007.14/x
  3. Step 3: Cross multiply
    2,856.41x = 4,284.95 × 1,007.14
  4. Step 4: Simplify right side
    2,856.41x = 4,315,536.35
  5. Step 5: Solve for x
    x = 4,315,536.35/2,856.41
  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.