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Finding the Fourth Proportional to 2,856.99, 4,279.52 and 2,298.68

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Solution

The fourth proportional to 2,856.99, 4,279.52 and 2,298.68 is: 3,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.99 : 4,279.52 = 2,298.68 : x
  2. Step 2: Convert to fraction form
    2,856.99/4,279.52 = 2,298.68/x
  3. Step 3: Cross multiply
    2,856.99x = 4,279.52 × 2,298.68
  4. Step 4: Simplify right side
    2,856.99x = 9,837,214.14
  5. Step 5: Solve for x
    x = 9,837,214.14/2,856.99
  6. Step 6: Final answer
    x = 3,443.21

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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.