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Finding the Fourth Proportional to 2,856.76, 4,279.98 and 2,159.38

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Solution

The fourth proportional to 2,856.76, 4,279.98 and 2,159.38 is: 3,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.76 : 4,279.98 = 2,159.38 : x
  2. Step 2: Convert to fraction form
    2,856.76/4,279.98 = 2,159.38/x
  3. Step 3: Cross multiply
    2,856.76x = 4,279.98 × 2,159.38
  4. Step 4: Simplify right side
    2,856.76x = 9,242,103.21
  5. Step 5: Solve for x
    x = 9,242,103.21/2,856.76
  6. Step 6: Final answer
    x = 3,235.17

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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.