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Finding the Fourth Proportional to 2,856.84, 4,279.23 and 1,465.95

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Solution

The fourth proportional to 2,856.84, 4,279.23 and 1,465.95 is: 2,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.84 : 4,279.23 = 1,465.95 : x
  2. Step 2: Convert to fraction form
    2,856.84/4,279.23 = 1,465.95/x
  3. Step 3: Cross multiply
    2,856.84x = 4,279.23 × 1,465.95
  4. Step 4: Simplify right side
    2,856.84x = 6,273,137.22
  5. Step 5: Solve for x
    x = 6,273,137.22/2,856.84
  6. Step 6: Final answer
    x = 2,195.83

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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.